633132 has 36 divisors (see below), whose sum is σ = 1641640. Its totient is φ = 205632.

The previous prime is 633091. The next prime is 633133. The reversal of 633132 is 231336.

It is a happy number.

633132 is a `hidden beast` number, since 633 + 1 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×633132² = 801712258848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (633133) 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, 1344 + ... + 1752.

2⁶³³¹³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820820).

633132 is an abundant number, since it is smaller than the sum of its proper divisors (1008508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

633132 is a wasteful number, since it uses less digits than its factorization.

633132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 633132 is about 795.6959218194. The cubic root of 633132 is about 85.8680145980.

Adding to 633132 its reverse (231336), we get a palindrome (864468).

The spelling of 633132 in words is "six hundred thirty-three thousand, one hundred thirty-two".