33894 has 24 divisors (see below), whose sum is σ = 84240. Its totient is φ = 9648.

The previous prime is 33893. The next prime is 33911. The reversal of 33894 is 49833.

33894 = T₃₆ + T₃₇ + ... + T₆₂.

It is a super-2 number, since 2×33894² = 2297606472, which contains 22 as substring.

It is a Curzon number.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 9 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2³³⁸⁹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120).

33894 is an abundant number, since it is smaller than the sum of its proper divisors (50346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33894 is a wasteful number, since it uses less digits than its factorization.

33894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33894 is about 184.1032319108. The cubic root of 33894 is about 32.3624164112.

The spelling of 33894 in words is "thirty-three thousand, eight hundred ninety-four".