33289 has 2 divisors, whose sum is σ = 33290. Its totient is φ = 33288.

The previous prime is 33287. The next prime is 33301. The reversal of 33289 is 98233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 13689 = 140^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 33289 - 2¹ = 33287 is a prime.

It is a super-2 number, since 2×33289² = 2216315042, which contains 22 as substring.

Together with 33287, it forms a pair of twin primes.

33289 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (33287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16644 + 16645.

It is an arithmetic number, because the mean of its divisors is an integer number (16645).

2³³²⁸⁹ is an apocalyptic number.

It is an amenable number.

33289 is a deficient number, since it is larger than the sum of its proper divisors (1).

33289 is an equidigital number, since it uses as much as digits as its factorization.

33289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

The square root of 33289 is about 182.4527336052. The cubic root of 33289 is about 32.1687053692.

The spelling of 33289 in words is "thirty-three thousand, two hundred eighty-nine".