812672137 has 2 divisors, whose sum is σ = 812672138. Its totient is φ = 812672136.

The previous prime is 812672129. The next prime is 812672141. The reversal of 812672137 is 731276218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 520569856 + 292102281 = 22816^2 + 17091^2 .

It is a cyclic number.

It is not a de Polignac number, because 812672137 - 2³ = 812672129 is a prime.

It is a super-2 number, since 2×812672137² = 1320872004512293538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 812672096 and 812672105.

It is not a weakly prime, because it can be changed into another prime (812672117) 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, 406336068 + 406336069.

It is an arithmetic number, because the mean of its divisors is an integer number (406336069).

Almost surely, 2^812672137 is an apocalyptic number.

It is an amenable number.

812672137 is a deficient number, since it is larger than the sum of its proper divisors (1).

812672137 is an equidigital number, since it uses as much as digits as its factorization.

812672137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 812672137 is about 28507.4049502932. The cubic root of 812672137 is about 933.1936823227.

The spelling of 812672137 in words is "eight hundred twelve million, six hundred seventy-two thousand, one hundred thirty-seven".