33997297 has 12 divisors (see below), whose sum is σ = 37213668. Its totient is φ = 30950400.

The previous prime is 33997277. The next prime is 33997303. The reversal of 33997297 is 79279933.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 14070001 = 4464^2 + 3751^2 .

It is not a de Polignac number, because 33997297 - 2⁷ = 33997169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33997297.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33997237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15297 + ... + 17377.

It is an arithmetic number, because the mean of its divisors is an integer number (3101139).

Almost surely, 2^33997297 is an apocalyptic number.

It is an amenable number.

33997297 is a deficient number, since it is larger than the sum of its proper divisors (3216371).

33997297 is a wasteful number, since it uses less digits than its factorization.

33997297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2129 counting only the distinct ones).

The product of its digits is 642978, while the sum is 49.

The square root of 33997297 is about 5830.7201099007. The cubic root of 33997297 is about 323.9525949290.

The spelling of 33997297 in words is "thirty-three million, nine hundred ninety-seven thousand, two hundred ninety-seven".