7971525 has 36 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 4183200.

The previous prime is 7971503. The next prime is 7971563. The reversal of 7971525 is 5251797.

It is not a de Polignac number, because 7971525 - 2⁵ = 7971493 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7971525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15726 + ... + 16224.

It is an arithmetic number, because the mean of its divisors is an integer number (403000).

Almost surely, 2^7971525 is an apocalyptic number.

7971525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7971525 is a deficient number, since it is larger than the sum of its proper divisors (6536475).

7971525 is a wasteful number, since it uses less digits than its factorization.

7971525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 7971525 is about 2823.3889211372. The cubic root of 7971525 is about 199.7624262386.

The spelling of 7971525 in words is "seven million, nine hundred seventy-one thousand, five hundred twenty-five".