633681 has 12 divisors (see below), whose sum is σ = 922740. Its totient is φ = 419040.

The previous prime is 633667. The next prime is 633739. The reversal of 633681 is 186336.

633681 = 140² + 141² + ... + 166².

633681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 576081 = 240^2 + 759^2 .

It is not a de Polignac number, because 633681 - 2⁵ = 633649 is a prime.

It is a super-2 number, since 2×633681² = 803103219522, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 633681.

It is not an unprimeable number, because it can be changed into a prime (633781) 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, 1435 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (76895).

2⁶³³⁶⁸¹ is an apocalyptic number.

It is an amenable number.

633681 is a deficient number, since it is larger than the sum of its proper divisors (289059).

633681 is a wasteful number, since it uses less digits than its factorization.

633681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 633681 is about 796.0408280987. The cubic root of 633681 is about 85.8928266545.

The spelling of 633681 in words is "six hundred thirty-three thousand, six hundred eighty-one".