8107957 has 24 divisors (see below), whose sum is σ = 10009440. Its totient is φ = 6472800.

The previous prime is 8107949. The next prime is 8107961. The reversal of 8107957 is 7597018.

It is not a de Polignac number, because 8107957 - 2³ = 8107949 is a prime.

It is a Duffinian number.

8107957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8107157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137394 + ... + 137452.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 2^8107957 is an apocalyptic number.

It is an amenable number.

8107957 is a deficient number, since it is larger than the sum of its proper divisors (1901483).

8107957 is a wasteful number, since it uses less digits than its factorization.

8107957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 8107957 is about 2847.4474534221. The cubic root of 8107957 is about 200.8956249595.

The spelling of 8107957 in words is "eight million, one hundred seven thousand, nine hundred fifty-seven".