33629131 has 2 divisors, whose sum is σ = 33629132. Its totient is φ = 33629130.

The previous prime is 33629093. The next prime is 33629159. The reversal of 33629131 is 13192633.

It is an a-pointer prime, because the next prime (33629159) can be obtained adding 33629131 to its sum of digits (28).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33629131 - 2⁷ = 33629003 is a prime.

It is a super-2 number, since 2×33629131² = 2261836903630322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33629131.

It is not a weakly prime, because it can be changed into another prime (33629161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16814565 + 16814566.

It is an arithmetic number, because the mean of its divisors is an integer number (16814566).

Almost surely, 2^33629131 is an apocalyptic number.

33629131 is a deficient number, since it is larger than the sum of its proper divisors (1).

33629131 is an equidigital number, since it uses as much as digits as its factorization.

33629131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 28.

The square root of 33629131 is about 5799.0629415450. The cubic root of 33629131 is about 322.7789578027.

The spelling of 33629131 in words is "thirty-three million, six hundred twenty-nine thousand, one hundred thirty-one".