33400 has 24 divisors (see below), whose sum is σ = 78120. Its totient is φ = 13280.

The previous prime is 33391. The next prime is 33403. The reversal of 33400 is 433.

It is a super-2 number, since 2×33400² = 2231120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2³³⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

33400 is an abundant number, since it is smaller than the sum of its proper divisors (44720).

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

33400 is a wasteful number, since it uses less digits than its factorization.

33400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33400 is about 182.7566688250. The cubic root of 33400 is about 32.2044205188.

Adding to 33400 its reverse (433), we get a palindrome (33833).

It can be divided in two parts, 3 and 3400, that added together give a triangular number (3403 = T₈₂).

The spelling of 33400 in words is "thirty-three thousand, four hundred".