810137 has 2 divisors, whose sum is σ = 810138. Its totient is φ = 810136.

The previous prime is 810109. The next prime is 810149. The reversal of 810137 is 731018.

810137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 808201 + 1936 = 899^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 810137 - 2¹² = 806041 is a prime.

It is not a weakly prime, because it can be changed into another prime (810437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405068 + 405069.

It is an arithmetic number, because the mean of its divisors is an integer number (405069).

2⁸¹⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

810137 is a deficient number, since it is larger than the sum of its proper divisors (1).

810137 is an equidigital number, since it uses as much as digits as its factorization.

810137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 810137 is about 900.0761078931. The cubic root of 810137 is about 93.2222303250. Note that the first 4 decimals are identical.

The spelling of 810137 in words is "eight hundred ten thousand, one hundred thirty-seven".