15085973 has 24 divisors (see below), whose sum is σ = 18480312. Its totient is φ = 12265344.

The previous prime is 15085969. The next prime is 15085979. The reversal of 15085973 is 37958051.

15085973 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5207524 + 9878449 = 2282^2 + 3143^2 .

It is not a de Polignac number, because 15085973 - 2² = 15085969 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

15085973 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15085979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96011 + ... + 96167.

It is an arithmetic number, because the mean of its divisors is an integer number (770013).

Almost surely, 2^15085973 is an apocalyptic number.

It is an amenable number.

15085973 is a deficient number, since it is larger than the sum of its proper divisors (3394339).

15085973 is a wasteful number, since it uses less digits than its factorization.

15085973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 15085973 is about 3884.0665545276. The cubic root of 15085973 is about 247.0914826651.

The spelling of 15085973 in words is "fifteen million, eighty-five thousand, nine hundred seventy-three".