33997117 has 16 divisors (see below), whose sum is σ = 43535232. Its totient is φ = 25773120.

The previous prime is 33997091. The next prime is 33997123. The reversal of 33997117 is 71179933.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 33997117 - 2²³ = 25608509 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 33997117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33907117) 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 15 ways as a sum of consecutive naturals, for example, 3118 + ... + 8815.

It is an arithmetic number, because the mean of its divisors is an integer number (2720952).

Almost surely, 2^33997117 is an apocalyptic number.

33997117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

33997117 is a deficient number, since it is larger than the sum of its proper divisors (9538115).

33997117 is a wasteful number, since it uses less digits than its factorization.

33997117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988.

The product of its digits is 35721, while the sum is 40.

The square root of 33997117 is about 5830.7046743940. The cubic root of 33997117 is about 323.9520232015.

The spelling of 33997117 in words is "thirty-three million, nine hundred ninety-seven thousand, one hundred seventeen".