4100957 has 12 divisors (see below), whose sum is σ = 4815360. Its totient is φ = 3482136.

The previous prime is 4100951. The next prime is 4100963. The reversal of 4100957 is 7590014.

It is an interprime number because it is at equal distance from previous prime (4100951) and next prime (4100963).

It is not a de Polignac number, because 4100957 - 2²⁰ = 3052381 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 (4100951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5894 + ... + 6552.

It is an arithmetic number, because the mean of its divisors is an integer number (401280).

Almost surely, 2^4100957 is an apocalyptic number.

It is an amenable number.

4100957 is a deficient number, since it is larger than the sum of its proper divisors (714403).

4100957 is a wasteful number, since it uses less digits than its factorization.

4100957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 4100957 is about 2025.0819736495. The cubic root of 4100957 is about 160.0645182511.

The spelling of 4100957 in words is "four million, one hundred thousand, nine hundred fifty-seven".