4041657 has 20 divisors (see below), whose sum is σ = 6189876. Its totient is φ = 2626560.

The previous prime is 4041619. The next prime is 4041683. The reversal of 4041657 is 7561404.

4041657 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 657 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 670761 + 3370896 = 819^2 + 1836^2 .

It is not a de Polignac number, because 4041657 - 2⁶ = 4041593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4041657.

It is not an unprimeable number, because it can be changed into a prime (4041157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2713 + ... + 3929.

Almost surely, 2^4041657 is an apocalyptic number.

It is an amenable number.

4041657 is a deficient number, since it is larger than the sum of its proper divisors (2148219).

4041657 is a wasteful number, since it uses less digits than its factorization.

4041657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1261 counting only the distinct ones).

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

The square root of 4041657 is about 2010.3872761237. The cubic root of 4041657 is about 159.2892563003.

The spelling of 4041657 in words is "four million, forty-one thousand, six hundred fifty-seven".