82365696 has 108 divisors (see below), whose sum is σ = 271459552. Its totient is φ = 23528448.

The previous prime is 82365659. The next prime is 82365721. The reversal of 82365696 is 69656328.

It is a happy number.

82365696 is a `hidden beast` number, since 82 + 3 + 6 + 569 + 6 = 666.

It is a super-3 number, since 3×82365696³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13575 + ... + 18681.

Almost surely, 2^82365696 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 82365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135729776).

82365696 is an abundant number, since it is smaller than the sum of its proper divisors (189093856).

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

82365696 is a wasteful number, since it uses less digits than its factorization.

82365696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5119 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 82365696 is about 9075.5548590706. The cubic root of 82365696 is about 435.0930280626.

The spelling of 82365696 in words is "eighty-two million, three hundred sixty-five thousand, six hundred ninety-six".