82415657 has 2 divisors, whose sum is σ = 82415658. Its totient is φ = 82415656.

The previous prime is 82415633. The next prime is 82415659. The reversal of 82415657 is 75651428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81342361 + 1073296 = 9019^2 + 1036^2 .

It is a cyclic number.

It is not a de Polignac number, because 82415657 - 2⁸ = 82415401 is a prime.

Together with 82415659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82415657.

It is not a weakly prime, because it can be changed into another prime (82415659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41207828 + 41207829.

It is an arithmetic number, because the mean of its divisors is an integer number (41207829).

Almost surely, 2^82415657 is an apocalyptic number.

It is an amenable number.

82415657 is a deficient number, since it is larger than the sum of its proper divisors (1).

82415657 is an equidigital number, since it uses as much as digits as its factorization.

82415657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67200, while the sum is 38.

The square root of 82415657 is about 9078.3069456810. The cubic root of 82415657 is about 435.1809825150.

The spelling of 82415657 in words is "eighty-two million, four hundred fifteen thousand, six hundred fifty-seven".