33997105 has 16 divisors (see below), whose sum is σ = 43006464. Its totient is φ = 25748800.

The previous prime is 33997091. The next prime is 33997123. The reversal of 33997105 is 50179933.

It is not a de Polignac number, because 33997105 - 2²¹ = 31899953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10152 + ... + 13078.

It is an arithmetic number, because the mean of its divisors is an integer number (2687904).

Almost surely, 2^33997105 is an apocalyptic number.

It is an amenable number.

33997105 is a deficient number, since it is larger than the sum of its proper divisors (9009359).

33997105 is a wasteful number, since it uses less digits than its factorization.

33997105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056.

The product of its (nonzero) digits is 25515, while the sum is 37.

The square root of 33997105 is about 5830.7036453588. The cubic root of 33997105 is about 323.9519850862.

The spelling of 33997105 in words is "thirty-three million, nine hundred ninety-seven thousand, one hundred five".