133583163 has 24 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 75252240.

The previous prime is 133583159. The next prime is 133583173. The reversal of 133583163 is 361385331.

It is not a de Polignac number, because 133583163 - 2² = 133583159 is a prime.

It is a super-2 number, since 2×133583163² = 35688922874169138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133583113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4038 + ... + 16836.

It is an arithmetic number, because the mean of its divisors is an integer number (8755200).

Almost surely, 2^133583163 is an apocalyptic number.

133583163 is a deficient number, since it is larger than the sum of its proper divisors (76541637).

133583163 is a wasteful number, since it uses less digits than its factorization.

133583163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887 (or 12880 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 133583163 is about 11557.8182629768. The cubic root of 133583163 is about 511.1918338984.

The spelling of 133583163 in words is "one hundred thirty-three million, five hundred eighty-three thousand, one hundred sixty-three".