4057657 has 2 divisors, whose sum is σ = 4057658. Its totient is φ = 4057656.

The previous prime is 4057649. The next prime is 4057661. The reversal of 4057657 is 7567504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 1510441 = 1596^2 + 1229^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057657 - 2³ = 4057649 is a prime.

It is equal to p₂₈₆₉₇₂ and since 4057657 and 286972 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4057667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028828 + 2028829.

It is an arithmetic number, because the mean of its divisors is an integer number (2028829).

Almost surely, 2^4057657 is an apocalyptic number.

It is an amenable number.

4057657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057657 is an equidigital number, since it uses as much as digits as its factorization.

4057657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 4057657 is about 2014.3626783675. The cubic root of 4057657 is about 159.4991761700.

The spelling of 4057657 in words is "four million, fifty-seven thousand, six hundred fifty-seven".