15951 has 8 divisors (see below), whose sum is σ = 22960. Its totient is φ = 9792.

The previous prime is 15937. The next prime is 15959.

It is a happy number.

15951 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 15951 - 2⁵ = 15919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15959) 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, 166 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (2870).

2¹⁵⁹⁵¹ is an apocalyptic number.

15951 is a deficient number, since it is larger than the sum of its proper divisors (7009).

15951 is a wasteful number, since it uses less digits than its factorization.

15951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its digits is 225, while the sum is 21.

The square root of 15951 is about 126.2972683790. The cubic root of 15951 is about 25.1726713057.

Multiplying 15951 by its sum of digits (21), we get a triangular number (334971 = T₈₁₈).

It can be divided in two parts, 1595 and 1, that added together give a triangular number (1596 = T₅₆).

The spelling of 15951 in words is "fifteen thousand, nine hundred fifty-one".