82590372 has 18 divisors (see below), whose sum is σ = 208770198. Its totient is φ = 27530112.

The previous prime is 82590367. The next prime is 82590379. The reversal of 82590372 is 27309528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 30404196 = 7224^2 + 5514^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2294177 = 82590372 / (8 + 2 + 5 + 9 + 0 + 3 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (82590379) 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 5 ways as a sum of consecutive naturals, for example, 1147053 + ... + 1147124.

Almost surely, 2^82590372 is an apocalyptic number.

It is an amenable number.

82590372 is an abundant number, since it is smaller than the sum of its proper divisors (126179826).

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

82590372 is a wasteful number, since it uses less digits than its factorization.

82590372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294187 (or 2294182 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82590372 is about 9087.9245155316. The cubic root of 82590372 is about 435.4882824606.

The spelling of 82590372 in words is "eighty-two million, five hundred ninety thousand, three hundred seventy-two".