6351 has 8 divisors (see below), whose sum is σ = 8880. Its totient is φ = 4032.

The previous prime is 6343. The next prime is 6353. The reversal of 6351 is 1536.

6351 is nontrivially palindromic in base 7.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6351 - 2^{3} = 6343 is a prime.

6351 is a lucky number.

It is a plaindrome in base 14 and base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number *n* which added to its sum of digits gives 6351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (1110).

2^{6351} is an apocalyptic number.

6351 is a deficient number, since it is larger than the sum of its proper divisors (2529).

6351 is a wasteful number, since it uses less digits than its factorization.

6351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its digits is 90, while the sum is 15.

The square root of 6351 is about 79.6931615636. The cubic root of 6351 is about 18.5188510064.

Subtracting from 6351 its sum of digits (15), we obtain a palindrome (6336).

Adding to 6351 its product of digits (90), we get a triangular number (6441 = T_{113}).

Adding to 6351 its reverse (1536), we get a palindrome (7887).

It can be divided in two parts, 635 and 1, that added together give a palindrome (636).

The spelling of 6351 in words is "six thousand, three hundred fifty-one".

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