33997129 has 2 divisors, whose sum is σ = 33997130. Its totient is φ = 33997128.

The previous prime is 33997123. The next prime is 33997163. The reversal of 33997129 is 92179933.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27846729 + 6150400 = 5277^2 + 2480^2 .

It is a cyclic number.

It is not a de Polignac number, because 33997129 - 2²¹ = 31899977 is a prime.

It is not a weakly prime, because it can be changed into another prime (33997123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16998564 + 16998565.

It is an arithmetic number, because the mean of its divisors is an integer number (16998565).

Almost surely, 2^33997129 is an apocalyptic number.

It is an amenable number.

33997129 is a deficient number, since it is larger than the sum of its proper divisors (1).

33997129 is an equidigital number, since it uses as much as digits as its factorization.

33997129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 91854, while the sum is 43.

The square root of 33997129 is about 5830.7057034290. The cubic root of 33997129 is about 323.9520613167.

The spelling of 33997129 in words is "thirty-three million, nine hundred ninety-seven thousand, one hundred twenty-nine".