8131797 has 12 divisors (see below), whose sum is σ = 12437100. Its totient is φ = 5102208.

The previous prime is 8131777. The next prime is 8131807. The reversal of 8131797 is 7971318.

It can be written as a sum of positive squares in 2 ways, for example, as 5716881 + 2414916 = 2391^2 + 1554^2 .

It is not a de Polignac number, because 8131797 - 2⁶ = 8131733 is a prime.

It is a super-2 number, since 2×8131797² = 132252244898418, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26422 + ... + 26727.

It is an arithmetic number, because the mean of its divisors is an integer number (1036425).

Almost surely, 2^8131797 is an apocalyptic number.

It is an amenable number.

8131797 is a deficient number, since it is larger than the sum of its proper divisors (4305303).

8131797 is a wasteful number, since it uses less digits than its factorization.

8131797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53172 (or 53169 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 8131797 is about 2851.6305861735. The cubic root of 8131797 is about 201.0923315312.

It can be divided in two parts, 81 and 31797, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 8131797 in words is "eight million, one hundred thirty-one thousand, seven hundred ninety-seven".