82970520 has 64 divisors (see below), whose sum is σ = 253152000. Its totient is φ = 21748608.

The previous prime is 82970483. The next prime is 82970527. The reversal of 82970520 is 2507928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82970527) 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, 1221 + ... + 12939.

It is an arithmetic number, because the mean of its divisors is an integer number (3955500).

Almost surely, 2^82970520 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 82970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126576000).

82970520 is an abundant number, since it is smaller than the sum of its proper divisors (170181480).

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

82970520 is a wasteful number, since it uses less digits than its factorization.

82970520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11792 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 82970520 is about 9108.8155102626. The cubic root of 82970520 is about 436.1554169161.

The spelling of 82970520 in words is "eighty-two million, nine hundred seventy thousand, five hundred twenty".