82590581 has 2 divisors, whose sum is σ = 82590582. Its totient is φ = 82590580.

The previous prime is 82590577. The next prime is 82590583. The reversal of 82590581 is 18509528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71132356 + 11458225 = 8434^2 + 3385^2 .

It is a cyclic number.

It is not a de Polignac number, because 82590581 - 2² = 82590577 is a prime.

It is a super-2 number, since 2×82590581² = 13642408139835122, which contains 22 as substring.

Together with 82590583, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82590583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41295290 + 41295291.

It is an arithmetic number, because the mean of its divisors is an integer number (41295291).

Almost surely, 2^82590581 is an apocalyptic number.

It is an amenable number.

82590581 is a deficient number, since it is larger than the sum of its proper divisors (1).

82590581 is an equidigital number, since it uses as much as digits as its factorization.

82590581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 38.

The square root of 82590581 is about 9087.9360142994. The cubic root of 82590581 is about 435.4886498035.

The spelling of 82590581 in words is "eighty-two million, five hundred ninety thousand, five hundred eighty-one".