33489 has 9 divisors (see below), whose sum is σ = 49179. Its totient is φ = 21960.

The previous prime is 33487. The next prime is 33493. The reversal of 33489 is 98433.

33489 = T₁₈₂ + T₁₈₃.

The square root of 33489 is 183.

It is a perfect power (a square), and thus also a powerful number.

33489 is nontrivially palindromic in base 13.

33489 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 32400 = 33^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 33489 - 2¹ = 33487 is a prime.

It is a super-2 number, since 2×33489² = 2243026242, which contains 22 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 519 + ... + 579.

2³³⁴⁸⁹ is an apocalyptic number.

33489 is the 183-rd square number.

33489 is the 92-nd centered octagonal number.

It is an amenable number.

33489 is a deficient number, since it is larger than the sum of its proper divisors (15690).

33489 is an equidigital number, since it uses as much as digits as its factorization.

33489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

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

The cubic root of 33489 is about 32.2329998738.

The spelling of 33489 in words is "thirty-three thousand, four hundred eighty-nine".