82592501 has 2 divisors, whose sum is σ = 82592502. Its totient is φ = 82592500.

The previous prime is 82592483. The next prime is 82592509. The reversal of 82592501 is 10529528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82337476 + 255025 = 9074^2 + 505^2 .

It is a cyclic number.

It is not a de Polignac number, because 82592501 - 2¹⁸ = 82330357 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82592509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41296250 + 41296251.

It is an arithmetic number, because the mean of its divisors is an integer number (41296251).

Almost surely, 2^82592501 is an apocalyptic number.

It is an amenable number.

82592501 is a deficient number, since it is larger than the sum of its proper divisors (1).

82592501 is an equidigital number, since it uses as much as digits as its factorization.

82592501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 82592501 is about 9088.0416482320. The cubic root of 82592501 is about 435.4920244084.

The spelling of 82592501 in words is "eighty-two million, five hundred ninety-two thousand, five hundred one".