632961 has 32 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 338688.

The previous prime is 632941. The next prime is 632971. The reversal of 632961 is 169236.

It is a happy number.

It is not a de Polignac number, because 632961 - 2⁶ = 632897 is a prime.

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

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 632961.

It is not an unprimeable number, because it can be changed into a prime (632911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115 + ... + 3311.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁶³²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

632961 is a deficient number, since it is larger than the sum of its proper divisors (507519).

632961 is a wasteful number, since it uses less digits than its factorization.

632961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 632961 is about 795.5884614548. The cubic root of 632961 is about 85.8602833231.

The spelling of 632961 in words is "six hundred thirty-two thousand, nine hundred sixty-one".