812137 has 2 divisors, whose sum is σ = 812138. Its totient is φ = 812136.

The previous prime is 812129. The next prime is 812167. The reversal of 812137 is 731218.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 670761 + 141376 = 819^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 812137 - 2³ = 812129 is a prime.

It is not a weakly prime, because it can be changed into another prime (812167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406068 + 406069.

It is an arithmetic number, because the mean of its divisors is an integer number (406069).

2⁸¹²¹³⁷ is an apocalyptic number.

It is an amenable number.

812137 is a deficient number, since it is larger than the sum of its proper divisors (1).

812137 is an equidigital number, since it uses as much as digits as its factorization.

812137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 22.

The square root of 812137 is about 901.1864401998. The cubic root of 812137 is about 93.2988804243.

Subtracting from 812137 its product of digits (336), we obtain a square (811801 = 901²).

It can be divided in two parts, 812 and 137, that added together give a palindrome (949).

The spelling of 812137 in words is "eight hundred twelve thousand, one hundred thirty-seven".