33253 has 4 divisors (see below), whose sum is σ = 36288. Its totient is φ = 30220.

The previous prime is 33247. The next prime is 33287. The reversal of 33253 is 35233.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 35233 = 11 ⋅3203.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33253 is a prime.

It is a super-2 number, since 2×33253² = 2211524018, which contains 22 as substring.

It is a Duffinian 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1501 + ... + 1522.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2³³²⁵³ is an apocalyptic number.

It is an amenable number.

33253 is a deficient number, since it is larger than the sum of its proper divisors (3035).

33253 is a wasteful number, since it uses less digits than its factorization.

33253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034.

The product of its digits is 270, while the sum is 16.

The square root of 33253 is about 182.3540512300. The cubic root of 33253 is about 32.1571050297.

Adding to 33253 its reverse (35233), we get a palindrome (68486).

The spelling of 33253 in words is "thirty-three thousand, two hundred fifty-three".