82537536 has 56 divisors (see below), whose sum is σ = 222528384. Its totient is φ = 26990080.

The previous prime is 82537529. The next prime is 82537537. The reversal of 82537536 is 63573528.

It is a junction number, because it is equal to n+sod(n) for n = 82537494 and 82537503.

It is not an unprimeable number, because it can be changed into a prime (82537537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6121 + ... + 14231.

Almost surely, 2^82537536 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 82537536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111264192).

82537536 is an abundant number, since it is smaller than the sum of its proper divisors (139990848).

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

82537536 is a wasteful number, since it uses less digits than its factorization.

82537536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8179 (or 8169 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 82537536 is about 9085.0171161094. The cubic root of 82537536 is about 435.3953968665.

The spelling of 82537536 in words is "eighty-two million, five hundred thirty-seven thousand, five hundred thirty-six".