82930952 has 64 divisors (see below), whose sum is σ = 179020800. Its totient is φ = 35723520.

The previous prime is 82930933. The next prime is 82930957. The reversal of 82930952 is 25903928.

It is not an unprimeable number, because it can be changed into a prime (82930957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93053 + ... + 93939.

It is an arithmetic number, because the mean of its divisors is an integer number (2797200).

Almost surely, 2^82930952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82930952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89510400).

82930952 is an abundant number, since it is smaller than the sum of its proper divisors (96089848).

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

82930952 is a wasteful number, since it uses less digits than its factorization.

82930952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 82930952 is about 9106.6432893795. The cubic root of 82930952 is about 436.0860728421.

The spelling of 82930952 in words is "eighty-two million, nine hundred thirty thousand, nine hundred fifty-two".