117007957 has 16 divisors (see below), whose sum is σ = 138039552. Its totient is φ = 97976320.

The previous prime is 117007931. The next prime is 117007963. The reversal of 117007957 is 759700711.

It is a cyclic number.

It is not a de Polignac number, because 117007957 - 2⁷ = 117007829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117007907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133 + ... + 15445.

It is an arithmetic number, because the mean of its divisors is an integer number (8627472).

Almost surely, 2^117007957 is an apocalyptic number.

117007957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

117007957 is a deficient number, since it is larger than the sum of its proper divisors (21031595).

117007957 is a wasteful number, since it uses less digits than its factorization.

117007957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13388.

The product of its (nonzero) digits is 15435, while the sum is 37.

The square root of 117007957 is about 10817.0216325937. The cubic root of 117007957 is about 489.1084119990.

The spelling of 117007957 in words is "one hundred seventeen million, seven thousand, nine hundred fifty-seven".