79000657 has 2 divisors, whose sum is σ = 79000658. Its totient is φ = 79000656.

The previous prime is 79000631. The next prime is 79000667. The reversal of 79000657 is 75600097.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51710481 + 27290176 = 7191^2 + 5224^2 .

It is an emirp because it is prime and its reverse (75600097) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 79000657 - 2²³ = 70612049 is a prime.

It is a super-3 number, since 3×79000657³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p_4614478 and since 79000657 and 4614478 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (79000667) 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 as a sum of consecutive naturals, namely, 39500328 + 39500329.

It is an arithmetic number, because the mean of its divisors is an integer number (39500329).

Almost surely, 2^79000657 is an apocalyptic number.

It is an amenable number.

79000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

79000657 is an equidigital number, since it uses as much as digits as its factorization.

79000657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 79000657 is about 8888.2313763763. The cubic root of 79000657 is about 429.0852321855.

The spelling of 79000657 in words is "seventy-nine million, six hundred fifty-seven", and thus it is an aban number.