633645 has 12 divisors (see below), whose sum is σ = 1098396. Its totient is φ = 337920.

The previous prime is 633629. The next prime is 633649. The reversal of 633645 is 546336.

It can be written as a sum of positive squares in 2 ways, for example, as 385641 + 248004 = 621^2 + 498^2 .

It is not a de Polignac number, because 633645 - 2⁴ = 633629 is a prime.

It is a super-3 number, since 3×633645³ = 763236781544433375, which contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

633645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633649) 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, 6996 + ... + 7085.

It is an arithmetic number, because the mean of its divisors is an integer number (91533).

2⁶³³⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

633645 is a deficient number, since it is larger than the sum of its proper divisors (464751).

633645 is a wasteful number, since it uses less digits than its factorization.

633645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14089 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 633645 is about 796.0182158720. The cubic root of 633645 is about 85.8912000736.

The spelling of 633645 in words is "six hundred thirty-three thousand, six hundred forty-five".