15952 has 10 divisors (see below), whose sum is σ = 30938. Its totient is φ = 7968.

The previous prime is 15937. The next prime is 15959. The reversal of 15952 is 25951.

15952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 576 = 124^2 + 24^2 .

It is a magnanimous number.

It is a nialpdrome in base 4.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483 + ... + 514.

2¹⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

15952 is a deficient number, since it is larger than the sum of its proper divisors (14986).

15952 is an equidigital number, since it uses as much as digits as its factorization.

15952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The square root of 15952 is about 126.3012272308. The cubic root of 15952 is about 25.1731973364.

Subtracting 15952 from its reverse (25951), we obtain a palindrome (9999).

The spelling of 15952 in words is "fifteen thousand, nine hundred fifty-two".