15965 has 8 divisors (see below), whose sum is σ = 19968. Its totient is φ = 12240.

The previous prime is 15959. The next prime is 15971. The reversal of 15965 is 56951.

It is an interprime number because it is at equal distance from previous prime (15959) and next prime (15971).

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

It is not a de Polignac number, because 15965 - 2⁶ = 15901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15965.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

2¹⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

15965 is a deficient number, since it is larger than the sum of its proper divisors (4003).

15965 is a wasteful number, since it uses less digits than its factorization.

15965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139.

The product of its digits is 1350, while the sum is 26.

The square root of 15965 is about 126.3526810163. The cubic root of 15965 is about 25.1800337353.

The spelling of 15965 in words is "fifteen thousand, nine hundred sixty-five".