8007957 has 8 divisors (see below), whose sum is σ = 11863680. Its totient is φ = 5338620.

The previous prime is 8007943. The next prime is 8007991. The reversal of 8007957 is 7597008.

It is not a de Polignac number, because 8007957 - 2⁷ = 8007829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148269 + ... + 148322.

It is an arithmetic number, because the mean of its divisors is an integer number (1482960).

Almost surely, 2^8007957 is an apocalyptic number.

It is an amenable number.

8007957 is a deficient number, since it is larger than the sum of its proper divisors (3855723).

8007957 is a wasteful number, since it uses less digits than its factorization.

8007957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296600 (or 296594 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 8007957 is about 2829.8333873216. The cubic root of 8007957 is about 200.0662863615.

The spelling of 8007957 in words is "eight million, seven thousand, nine hundred fifty-seven".