4117957 has 2 divisors, whose sum is σ = 4117958. Its totient is φ = 4117956.

The previous prime is 4117909. The next prime is 4117969. The reversal of 4117957 is 7597114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3690241 + 427716 = 1921^2 + 654^2 .

It is a cyclic number.

It is not a de Polignac number, because 4117957 - 2⁷ = 4117829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4117987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058978 + 2058979.

It is an arithmetic number, because the mean of its divisors is an integer number (2058979).

Almost surely, 2^4117957 is an apocalyptic number.

It is an amenable number.

4117957 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117957 is an equidigital number, since it uses as much as digits as its factorization.

4117957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8820, while the sum is 34.

The square root of 4117957 is about 2029.2749936862. The cubic root of 4117957 is about 160.2853890915.

The spelling of 4117957 in words is "four million, one hundred seventeen thousand, nine hundred fifty-seven".