33385 has 8 divisors (see below), whose sum is σ = 43776. Its totient is φ = 24240.

The previous prime is 33377. The next prime is 33391. The reversal of 33385 is 58333.

33385 = 50² + 51² + ... + 60².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33385 - 2³ = 33377 is a prime.

It is a super-2 number, since 2×33385² = 2229116450, 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 7 ways as a sum of consecutive naturals, for example, 249 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (5472).

2³³³⁸⁵ is an apocalyptic number.

It is an amenable number.

33385 is a deficient number, since it is larger than the sum of its proper divisors (10391).

33385 is a wasteful number, since it uses less digits than its factorization.

33385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623.

The product of its digits is 1080, while the sum is 22.

The square root of 33385 is about 182.7156260422. The cubic root of 33385 is about 32.1995987759.

The spelling of 33385 in words is "thirty-three thousand, three hundred eighty-five".