15975 has 18 divisors (see below), whose sum is σ = 29016. Its totient is φ = 8400.

The previous prime is 15973. The next prime is 15991. The reversal of 15975 is 57951.

15975 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15975 - 2¹ = 15973 is a prime.

15975 is strictly pandigital in base 6.

15975 is a lucky number.

It is a zygodrome in base 2.

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 15975.

It is not an unprimeable number, because it can be changed into a prime (15971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (1612).

15975 is a Friedman number, since it can be written as 71*9*5*5, using all its digits and the basic arithmetic operations.

2¹⁵⁹⁷⁵ is an apocalyptic number.

15975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15975 is a deficient number, since it is larger than the sum of its proper divisors (13041).

15975 is a wasteful number, since it uses less digits than its factorization.

15975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 15975 is about 126.3922465976. The cubic root of 15975 is about 25.1852899788.

Subtracting from 15975 its product of digits (1575), we obtain a square (14400 = 120²).

It can be divided in two parts, 15 and 975, that added together give a triangular number (990 = T₄₄).

The spelling of 15975 in words is "fifteen thousand, nine hundred seventy-five".