82581324 has 48 divisors (see below), whose sum is σ = 220824576. Its totient is φ = 23529600.

The previous prime is 82581269. The next prime is 82581329. The reversal of 82581324 is 42318528.

It is a super-3 number, since 3×82581324³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82581329) by changing a digit.

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, 35064 + ... + 37344.

It is an arithmetic number, because the mean of its divisors is an integer number (4600512).

Almost surely, 2^82581324 is an apocalyptic number.

82581324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82581324 is an abundant number, since it is smaller than the sum of its proper divisors (138243252).

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

82581324 is a wasteful number, since it uses less digits than its factorization.

82581324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2724 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 82581324 is about 9087.4266984664. The cubic root of 82581324 is about 435.4723789043.

The spelling of 82581324 in words is "eighty-two million, five hundred eighty-one thousand, three hundred twenty-four".