791657 has 2 divisors, whose sum is σ = 791658. Its totient is φ = 791656.

The previous prime is 791629. The next prime is 791663. The reversal of 791657 is 756197.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781456 + 10201 = 884^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 791657 - 2¹⁰ = 790633 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 791657.

It is not a weakly prime, because it can be changed into another prime (791627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 395828 + 395829.

It is an arithmetic number, because the mean of its divisors is an integer number (395829).

2⁷⁹¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

791657 is a deficient number, since it is larger than the sum of its proper divisors (1).

791657 is an equidigital number, since it uses as much as digits as its factorization.

791657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13230, while the sum is 35.

The square root of 791657 is about 889.7510887883. The cubic root of 791657 is about 92.5079418552.

The spelling of 791657 in words is "seven hundred ninety-one thousand, six hundred fifty-seven".