33897 has 4 divisors (see below), whose sum is σ = 45200. Its totient is φ = 22596.

The previous prime is 33893. The next prime is 33911. The reversal of 33897 is 79833.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 33897 - 2² = 33893 is a prime.

It is a super-2 number, since 2×33897² = 2298013218, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

33897 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (33893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5647 + ... + 5652.

It is an arithmetic number, because the mean of its divisors is an integer number (11300).

2³³⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

33897 is a deficient number, since it is larger than the sum of its proper divisors (11303).

33897 is a wasteful number, since it uses less digits than its factorization.

33897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11302.

The product of its digits is 4536, while the sum is 30.

The square root of 33897 is about 184.1113793333. Note that the first 3 decimals coincide. The cubic root of 33897 is about 32.3633711956.

It can be divided in two parts, 338 and 97, that added together give a triangular number (435 = T₂₉).

The spelling of 33897 in words is "thirty-three thousand, eight hundred ninety-seven".