633609 has 16 divisors (see below), whose sum is σ = 970240. Its totient is φ = 408240.

The previous prime is 633599. The next prime is 633613. The reversal of 633609 is 906336.

It is not a de Polignac number, because 633609 - 2¹² = 629513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (60640).

2⁶³³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

633609 is a deficient number, since it is larger than the sum of its proper divisors (336631).

633609 is a wasteful number, since it uses less digits than its factorization.

633609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 633609 is about 795.9956030029. The cubic root of 633609 is about 85.8895734310.

The spelling of 633609 in words is "six hundred thirty-three thousand, six hundred nine".