82497872 has 40 divisors (see below), whose sum is σ = 176613696. Its totient is φ = 37131776.

The previous prime is 82497847. The next prime is 82497881. The reversal of 82497872 is 27879428.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338 + ... + 12849.

Almost surely, 2^82497872 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 82497872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88306848).

82497872 is an abundant number, since it is smaller than the sum of its proper divisors (94115824).

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

82497872 is a wasteful number, since it uses less digits than its factorization.

82497872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13229 counting only the distinct ones).

The product of its digits is 451584, while the sum is 47.

The square root of 82497872 is about 9082.8339189925. The cubic root of 82497872 is about 435.3256415732.

The spelling of 82497872 in words is "eighty-two million, four hundred ninety-seven thousand, eight hundred seventy-two".