117957001 has 2 divisors, whose sum is σ = 117957002. Its totient is φ = 117957000.

The previous prime is 117956933. The next prime is 117957011. The reversal of 117957001 is 100759711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113976976 + 3980025 = 10676^2 + 1995^2 .

It is a cyclic number.

It is not a de Polignac number, because 117957001 - 2⁷ = 117956873 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (117957011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58978500 + 58978501.

It is an arithmetic number, because the mean of its divisors is an integer number (58978501).

Almost surely, 2^117957001 is an apocalyptic number.

It is an amenable number.

117957001 is a deficient number, since it is larger than the sum of its proper divisors (1).

117957001 is an equidigital number, since it uses as much as digits as its factorization.

117957001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 31.

The square root of 117957001 is about 10860.8011214643. The cubic root of 117957001 is about 490.4272283932.

The spelling of 117957001 in words is "one hundred seventeen million, nine hundred fifty-seven thousand, one".