33288131 has 2 divisors, whose sum is σ = 33288132. Its totient is φ = 33288130.

The previous prime is 33288121. The next prime is 33288161. The reversal of 33288131 is 13188233.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33288131 - 2¹⁸ = 33025987 is a prime.

It is a super-2 number, since 2×33288131² = 2216199330946322, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33288094 and 33288103.

It is not a weakly prime, because it can be changed into another prime (33288121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16644065 + 16644066.

It is an arithmetic number, because the mean of its divisors is an integer number (16644066).

Almost surely, 2^33288131 is an apocalyptic number.

33288131 is a deficient number, since it is larger than the sum of its proper divisors (1).

33288131 is an equidigital number, since it uses as much as digits as its factorization.

33288131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 33288131 is about 5769.5867269675. The cubic root of 33288131 is about 321.6842544844.

The spelling of 33288131 in words is "thirty-three million, two hundred eighty-eight thousand, one hundred thirty-one".