82575336 has 64 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 26172608.

The previous prime is 82575331. The next prime is 82575371. The reversal of 82575336 is 63357528.

It is a super-2 number, since 2×82575336² = 13637372231025792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82575294 and 82575303.

It is not an unprimeable number, because it can be changed into a prime (82575331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124975 + ... + 125633.

It is an arithmetic number, because the mean of its divisors is an integer number (3385800).

Almost surely, 2^82575336 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 82575336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

82575336 is an abundant number, since it is smaller than the sum of its proper divisors (134115864).

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

82575336 is a wasteful number, since it uses less digits than its factorization.

82575336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 914 counting only the distinct ones).

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

The square root of 82575336 is about 9087.0972262874. The cubic root of 82575336 is about 435.4618532329.

The spelling of 82575336 in words is "eighty-two million, five hundred seventy-five thousand, three hundred thirty-six".