809137 has 10 divisors (see below), whose sum is σ = 946738. Its totient is φ = 691488.

The previous prime is 809101. The next prime is 809141. The reversal of 809137 is 731908.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 194481 = 784^2 + 441^2 .

It is not a de Polignac number, because 809137 - 2¹¹ = 807089 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (809147) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2233 + ... + 2569.

2⁸⁰⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

809137 is a deficient number, since it is larger than the sum of its proper divisors (137601).

809137 is an frugal number, since it uses more digits than its factorization.

809137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 809137 is about 899.5204277836. The cubic root of 809137 is about 93.1838579619.

It can be divided in two parts, 8091 and 37, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 809137 in words is "eight hundred nine thousand, one hundred thirty-seven".