4140657 has 6 divisors (see below), whose sum is σ = 5980962. Its totient is φ = 2760432.

The previous prime is 4140641. The next prime is 4140683. The reversal of 4140657 is 7560414.

4140657 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 657 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 314721 = 1956^2 + 561^2 .

It is not a de Polignac number, because 4140657 - 2⁴ = 4140641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4140657.

It is not an unprimeable number, because it can be changed into a prime (4140607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230028 + ... + 230045.

It is an arithmetic number, because the mean of its divisors is an integer number (996827).

Almost surely, 2^4140657 is an apocalyptic number.

It is an amenable number.

4140657 is a deficient number, since it is larger than the sum of its proper divisors (1840305).

4140657 is a wasteful number, since it uses less digits than its factorization.

4140657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460079 (or 460076 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4140657 is about 2034.8604374748. The cubic root of 4140657 is about 160.5793708805.

The spelling of 4140657 in words is "four million, one hundred forty thousand, six hundred fifty-seven".