33769 has 2 divisors, whose sum is σ = 33770. Its totient is φ = 33768.

The previous prime is 33767. The next prime is 33773. The reversal of 33769 is 96733.

33769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 1369 = 180^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 33769 - 2¹ = 33767 is a prime.

It is a super-2 number, since 2×33769² = 2280690722, which contains 22 as substring.

Together with 33767, it forms a pair of twin primes.

It is a Chen prime.

33769 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16884 + 16885.

It is an arithmetic number, because the mean of its divisors is an integer number (16885).

2³³⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

33769 is a deficient number, since it is larger than the sum of its proper divisors (1).

33769 is an equidigital number, since it uses as much as digits as its factorization.

33769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 28.

The square root of 33769 is about 183.7634348830. The cubic root of 33769 is about 32.3225835475.

It can be divided in two parts, 337 and 69, that added together give a triangular number (406 = T₂₈).

The spelling of 33769 in words is "thirty-three thousand, seven hundred sixty-nine".