813157 has 2 divisors, whose sum is σ = 813158. Its totient is φ = 813156.

The previous prime is 813133. The next prime is 813167. The reversal of 813157 is 751318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 498436 + 314721 = 706^2 + 561^2 .

It is a cyclic number.

It is not a de Polignac number, because 813157 - 2¹⁵ = 780389 is a prime.

It is a super-2 number, since 2×813157² = 1322448613298, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406578 + 406579.

It is an arithmetic number, because the mean of its divisors is an integer number (406579).

2⁸¹³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

813157 is a deficient number, since it is larger than the sum of its proper divisors (1).

813157 is an equidigital number, since it uses as much as digits as its factorization.

813157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 25.

The square root of 813157 is about 901.7521832521. The cubic root of 813157 is about 93.3379235271.

The spelling of 813157 in words is "eight hundred thirteen thousand, one hundred fifty-seven".