82937400 has 384 divisors, whose sum is σ = 333312000. Its totient is φ = 16934400.

The previous prime is 82937389. The next prime is 82937447. The reversal of 82937400 is 473928.

It is a super-2 number, since 2×82937400² = 13757224637520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2675385 + ... + 2675415.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 2^82937400 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 82937400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656000).

82937400 is an abundant number, since it is smaller than the sum of its proper divisors (250374600).

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

82937400 is a wasteful number, since it uses less digits than its factorization.

82937400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 82937400 is about 9106.9973097613. The cubic root of 82937400 is about 436.0973746543.

The spelling of 82937400 in words is "eighty-two million, nine hundred thirty-seven thousand, four hundred".