82552 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 38784.

The previous prime is 82549. The next prime is 82559. The reversal of 82552 is 25528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2⁸²⁵⁵² is an apocalyptic number.

It is an amenable number.

82552 is a deficient number, since it is larger than the sum of its proper divisors (81608).

82552 is a wasteful number, since it uses less digits than its factorization.

82552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 82552 is about 287.3186384487. The cubic root of 82552 is about 43.5420828492.

The spelling of 82552 in words is "eighty-two thousand, five hundred fifty-two".