33273 has 6 divisors (see below), whose sum is σ = 48074. Its totient is φ = 22176.

The previous prime is 33247. The next prime is 33287. The reversal of 33273 is 37233.

33273 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21609 + 11664 = 147^2 + 108^2 .

It is not a de Polignac number, because 33273 - 2¹⁴ = 16889 is a prime.

It is a super-2 number, since 2×33273² = 2214185058, which contains 22 as substring.

It is a Duffinian number.

33273 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (33203) 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, 1840 + ... + 1857.

2³³²⁷³ is an apocalyptic number.

It is an amenable number.

33273 is a deficient number, since it is larger than the sum of its proper divisors (14801).

33273 is a wasteful number, since it uses less digits than its factorization.

33273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3700 counting only the distinct ones).

The product of its digits is 378, while the sum is 18.

The square root of 33273 is about 182.4088813627. The cubic root of 33273 is about 32.1635506958.

It can be divided in two parts, 33 and 273, that multiplied together give a palindrome (9009).

The spelling of 33273 in words is "thirty-three thousand, two hundred seventy-three".