33293 has 6 divisors (see below), whose sum is σ = 36234. Its totient is φ = 30576.

The previous prime is 33289. The next prime is 33301. The reversal of 33293 is 39233.

It can be written as a sum of positive squares in 3 ways, for example, as 3364 + 29929 = 58^2 + 173^2 .

It is not a de Polignac number, because 33293 - 2² = 33289 is a prime.

It is a super-2 number, since 2×33293² = 2216847698, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

33293 is an undulating number in base 14.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (6039).

2³³²⁹³ is an apocalyptic number.

It is an amenable number.

33293 is a deficient number, since it is larger than the sum of its proper divisors (2941).

33293 is a wasteful number, since it uses less digits than its factorization.

33293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its digits is 486, while the sum is 20.

The square root of 33293 is about 182.4636950190. The cubic root of 33293 is about 32.1699937795.

It can be divided in two parts, 332 and 93, that multiplied together give a triangular number (30876 = T₂₄₈).

The spelling of 33293 in words is "thirty-three thousand, two hundred ninety-three".