33870 has 16 divisors (see below), whose sum is σ = 81360. Its totient is φ = 9024.

The previous prime is 33863. The next prime is 33871. The reversal of 33870 is 7833.

It is a super-2 number, since 2×33870² = 2294353800, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33871) by changing a digit.

33870 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (5085).

2³³⁸⁷⁰ is an apocalyptic number.

33870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33870 is an abundant number, since it is smaller than the sum of its proper divisors (47490).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40680).

33870 is a wasteful number, since it uses less digits than its factorization.

33870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 33870 is about 184.0380395462. The cubic root of 33870 is about 32.3547761072.

It can be divided in two parts, 33 and 870, that added together give a triangular number (903 = T₄₂).

The spelling of 33870 in words is "thirty-three thousand, eight hundred seventy".