33990 has 32 divisors (see below), whose sum is σ = 89856. Its totient is φ = 8160.

The previous prime is 33967. The next prime is 33997. The reversal of 33990 is 9933.

33990 is nontrivially palindromic in base 14.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 33990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33997) by changing a digit.

33990 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 15 ways as a sum of consecutive naturals, for example, 279 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

2³³⁹⁹⁰ is an apocalyptic number.

33990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928).

33990 is an abundant number, since it is smaller than the sum of its proper divisors (55866).

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

33990 is a wasteful number, since it uses less digits than its factorization.

33990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 33990 is about 184.3637708445. The cubic root of 33990 is about 32.3929416113.

It can be divided in two parts, 3 and 3990, that added together give a palindrome (3993).

The spelling of 33990 in words is "thirty-three thousand, nine hundred ninety".