82497636 has 96 divisors (see below), whose sum is σ = 234039680. Its totient is φ = 24976512.

The previous prime is 82497593. The next prime is 82497637. The reversal of 82497636 is 63679428.

82497636 is a `hidden beast` number, since 8 + 2 + 4 + 9 + 7 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82497591 and 82497600.

It is not an unprimeable number, because it can be changed into a prime (82497637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93630 + ... + 94506.

Almost surely, 2^82497636 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 82497636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117019840).

82497636 is an abundant number, since it is smaller than the sum of its proper divisors (151542044).

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

82497636 is a wasteful number, since it uses less digits than its factorization.

82497636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82497636 is about 9082.8209274432. The cubic root of 82497636 is about 435.3252264638.

The spelling of 82497636 in words is "eighty-two million, four hundred ninety-seven thousand, six hundred thirty-six".