82586252 has 12 divisors (see below), whose sum is σ = 165172560. Its totient is φ = 35394096.

The previous prime is 82586249. The next prime is 82586281. The reversal of 82586252 is 25268528.

It is a happy number.

82586252 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1474727 + ... + 1474782.

It is an arithmetic number, because the mean of its divisors is an integer number (13764380).

Almost surely, 2^82586252 is an apocalyptic number.

It is an amenable number.

82586252 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82586252 is a wasteful number, since it uses less digits than its factorization.

82586252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949520 (or 2949518 counting only the distinct ones).

The product of its digits is 76800, while the sum is 38.

The square root of 82586252 is about 9087.6978382867. The cubic root of 82586252 is about 435.4810409322.

The spelling of 82586252 in words is "eighty-two million, five hundred eighty-six thousand, two hundred fifty-two".