633640657 has 12 divisors (see below), whose sum is σ = 695544204. Its totient is φ = 576875520.

The previous prime is 633640649. The next prime is 633640663. The reversal of 633640657 is 756046336.

It can be written as a sum of positive squares in 6 ways, for example, as 233600656 + 400040001 = 15284^2 + 20001^2 .

It is not a de Polignac number, because 633640657 - 2³ = 633640649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633640697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13344 + ... + 38017.

It is an arithmetic number, because the mean of its divisors is an integer number (57962017).

Almost surely, 2^633640657 is an apocalyptic number.

It is an amenable number.

633640657 is a deficient number, since it is larger than the sum of its proper divisors (61903547).

633640657 is a wasteful number, since it uses less digits than its factorization.

633640657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51460 (or 51447 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The square root of 633640657 is about 25172.2199458053. The cubic root of 633640657 is about 858.9100384049.

The spelling of 633640657 in words is "six hundred thirty-three million, six hundred forty thousand, six hundred fifty-seven".