33905 has 4 divisors (see below), whose sum is σ = 40692. Its totient is φ = 27120.

The previous prime is 33893. The next prime is 33911. The reversal of 33905 is 50933.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 20449 = 116^2 + 143^2 .

It is not a de Polignac number, because 33905 - 2⁴ = 33889 is a prime.

It is a super-2 number, since 2×33905² = 2299098050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3386 + ... + 3395.

It is an arithmetic number, because the mean of its divisors is an integer number (10173).

2³³⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

33905 is a deficient number, since it is larger than the sum of its proper divisors (6787).

33905 is an equidigital number, since it uses as much as digits as its factorization.

33905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 33905 is about 184.1331040308. The cubic root of 33905 is about 32.3659170119.

The spelling of 33905 in words is "thirty-three thousand, nine hundred five".