82577552 has 20 divisors (see below), whose sum is σ = 165156096. Its totient is φ = 39956640.

The previous prime is 82577531. The next prime is 82577557. The reversal of 82577552 is 25577528.

82577552 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (82577557) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82748 + ... + 83739.

Almost surely, 2^82577552 is an apocalyptic number.

It is an amenable number.

82577552 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.

82577552 is a wasteful number, since it uses less digits than its factorization.

82577552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166526 (or 166520 counting only the distinct ones).

The product of its digits is 196000, while the sum is 41.

The square root of 82577552 is about 9087.2191565957. The cubic root of 82577552 is about 435.4657485641.

The spelling of 82577552 in words is "eighty-two million, five hundred seventy-seven thousand, five hundred fifty-two".