4688957 has 24 divisors (see below), whose sum is σ = 6233976. Its totient is φ = 3483648.

The previous prime is 4688951. The next prime is 4688977. The reversal of 4688957 is 7598864.

It can be written as a sum of positive squares in 4 ways, for example, as 70756 + 4618201 = 266^2 + 2149^2 .

It is not a de Polignac number, because 4688957 - 2¹⁰ = 4687933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10613 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 2^4688957 is an apocalyptic number.

It is an amenable number.

4688957 is a deficient number, since it is larger than the sum of its proper divisors (1545019).

4688957 is a wasteful number, since it uses less digits than its factorization.

4688957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 470 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 4688957 is about 2165.3999630553. The cubic root of 4688957 is about 167.3755755253.

The spelling of 4688957 in words is "four million, six hundred eighty-eight thousand, nine hundred fifty-seven".