906633 has 48 divisors (see below), whose sum is σ = 1712256. Its totient is φ = 466560.

The previous prime is 906617. The next prime is 906641. The reversal of 906633 is 336609.

906633 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 906633 - 2⁴ = 906617 is a prime.

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

906633 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 906597 and 906606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906613) 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 47 ways as a sum of consecutive naturals, for example, 22093 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁹⁰⁶⁶³³ is an apocalyptic number.

It is an amenable number.

906633 is a deficient number, since it is larger than the sum of its proper divisors (805623).

906633 is a wasteful number, since it uses less digits than its factorization.

906633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

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

The square root of 906633 is about 952.1727784389. The cubic root of 906633 is about 96.7855467003.

The spelling of 906633 in words is "nine hundred six thousand, six hundred thirty-three".