2538657 has 12 divisors (see below), whose sum is σ = 4000464. Its totient is φ = 1538520.

The previous prime is 2538623. The next prime is 2538659. The reversal of 2538657 is 7568352.

2538657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2538657 - 2⁸ = 2538401 is a prime.

2538657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2538659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12723 + ... + 12920.

It is an arithmetic number, because the mean of its divisors is an integer number (333372).

2^2538657 is an apocalyptic number.

It is an amenable number.

2538657 is a deficient number, since it is larger than the sum of its proper divisors (1461807).

2538657 is a wasteful number, since it uses less digits than its factorization.

2538657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660 (or 25657 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2538657 is about 1593.3163527687. The cubic root of 2538657 is about 136.4168474760.

The spelling of 2538657 in words is "two million, five hundred thirty-eight thousand, six hundred fifty-seven".