82952 has 8 divisors (see below), whose sum is σ = 155550. Its totient is φ = 41472.

The previous prime is 82939. The next prime is 82963. The reversal of 82952 is 25928.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 1156 = 286^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

82952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5177 + ... + 5192.

82952 is a Friedman number, since it can be written as 8+(9*2^5)^2, using all its digits and the basic arithmetic operations.

2⁸²⁹⁵² is an apocalyptic number.

It is an amenable number.

82952 is a deficient number, since it is larger than the sum of its proper divisors (72598).

82952 is a wasteful number, since it uses less digits than its factorization.

82952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10371 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 82952 is about 288.0138885540. The cubic root of 82952 is about 43.6122962821.

The spelling of 82952 in words is "eighty-two thousand, nine hundred fifty-two".