33345 has 32 divisors (see below), whose sum is σ = 67200. Its totient is φ = 15552.

The previous prime is 33343. The next prime is 33347. The reversal of 33345 is 54333.

It is a happy number.

33345 is nontrivially palindromic in base 2 and base 8.

It is an interprime number because it is at equal distance from previous prime (33343) and next prime (33347).

It is not a de Polignac number, because 33345 - 2¹ = 33343 is a prime.

It is a super-2 number, since 2×33345² = 2223778050, which contains 22 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1746 + ... + 1764.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2³³³⁴⁵ is an apocalyptic number.

It is an amenable number.

33345 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33600).

33345 is a wasteful number, since it uses less digits than its factorization.

33345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 40 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 33345 is about 182.6061335224. The cubic root of 33345 is about 32.1867337298.

Adding to 33345 its reverse (54333), we get a palindrome (87678).

It can be divided in two parts, 333 and 45, that added together give a triangular number (378 = T₂₇).

The spelling of 33345 in words is "thirty-three thousand, three hundred forty-five".