331161633 has 36 divisors (see below), whose sum is σ = 538680324. Its totient is φ = 195782400.

The previous prime is 331161629. The next prime is 331161641. The reversal of 331161633 is 336161133.

331161633 is a `hidden beast` number, since 3 + 3 + 11 + 616 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128867904 + 202293729 = 11352^2 + 14223^2 .

It is not a de Polignac number, because 331161633 - 2² = 331161629 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331161597 and 331161606.

It is not an unprimeable number, because it can be changed into a prime (331161673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40941 + ... + 48357.

Almost surely, 2^331161633 is an apocalyptic number.

331161633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331161633 is a deficient number, since it is larger than the sum of its proper divisors (207518691).

331161633 is a wasteful number, since it uses less digits than its factorization.

331161633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7472 counting only the distinct ones).

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

The square root of 331161633 is about 18197.8469330852. The cubic root of 331161633 is about 691.8522194647.

The spelling of 331161633 in words is "three hundred thirty-one million, one hundred sixty-one thousand, six hundred thirty-three".