82207536 has 80 divisors (see below), whose sum is σ = 221795328. Its totient is φ = 26208000.

The previous prime is 82207511. The next prime is 82207549. The reversal of 82207536 is 63570228.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82207497 and 82207506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150015 + ... + 150561.

Almost surely, 2^82207536 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 82207536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110897664).

82207536 is an abundant number, since it is smaller than the sum of its proper divisors (139587792).

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

82207536 is a wasteful number, since it uses less digits than its factorization.

82207536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 82207536 is about 9066.8371552598. The cubic root of 82207536 is about 434.8143586252.

The spelling of 82207536 in words is "eighty-two million, two hundred seven thousand, five hundred thirty-six".