33173 has 6 divisors (see below), whose sum is σ = 38646. Its totient is φ = 28392.

The previous prime is 33161. The next prime is 33179. The reversal of 33173 is 37133.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 49 = 182^2 + 7^2 .

It is not a de Polignac number, because 33173 - 2⁸ = 32917 is a prime.

It is a super-2 number, since 2×33173² = 2200895858, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33173.

It is not an unprimeable number, because it can be changed into a prime (33179) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (6441).

2³³¹⁷³ is an apocalyptic number.

It is an amenable number.

33173 is a deficient number, since it is larger than the sum of its proper divisors (5473).

33173 is an equidigital number, since it uses as much as digits as its factorization.

33173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its digits is 189, while the sum is 17.

The square root of 33173 is about 182.1345656376. The cubic root of 33173 is about 32.1312964892.

It can be divided in two parts, 331 and 73, that added together give a palindrome (404).

The spelling of 33173 in words is "thirty-three thousand, one hundred seventy-three".