82965025 has 48 divisors (see below), whose sum is σ = 126241920. Its totient is φ = 53222400.

The previous prime is 82965007. The next prime is 82965037. The reversal of 82965025 is 52056928.

It is a happy number.

It is not a de Polignac number, because 82965025 - 2⁵ = 82964993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81721 + ... + 82729.

It is an arithmetic number, because the mean of its divisors is an integer number (2630040).

Almost surely, 2^82965025 is an apocalyptic number.

It is an amenable number.

82965025 is a deficient number, since it is larger than the sum of its proper divisors (43276895).

82965025 is a wasteful number, since it uses less digits than its factorization.

82965025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 82965025 is about 9108.5138743925. The cubic root of 82965025 is about 436.1457880868.

The spelling of 82965025 in words is "eighty-two million, nine hundred sixty-five thousand, twenty-five".