82675536 has 80 divisors (see below), whose sum is σ = 226324800. Its totient is φ = 25933824.

The previous prime is 82675511. The next prime is 82675561. The reversal of 82675536 is 63557628.

It is an interprime number because it is at equal distance from previous prime (82675511) and next prime (82675561).

Its product of digits (302400) is a multiple of the sum of its prime divisors (630).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245160 + ... + 245496.

It is an arithmetic number, because the mean of its divisors is an integer number (2829060).

Almost surely, 2^82675536 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 82675536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113162400).

82675536 is an abundant number, since it is smaller than the sum of its proper divisors (143649264).

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

82675536 is a wasteful number, since it uses less digits than its factorization.

82675536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 82675536 is about 9092.6088665465. The cubic root of 82675536 is about 435.6379172691.

The spelling of 82675536 in words is "eighty-two million, six hundred seventy-five thousand, five hundred thirty-six".