33553 has 8 divisors (see below), whose sum is σ = 37800. Its totient is φ = 29568.

The previous prime is 33547. The next prime is 33563. The reversal of 33553 is 35533.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 33489 = 8^2 + 183^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33553 - 2⁵ = 33521 is a prime.

It is a super-2 number, since 2×33553² = 2251607618, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 33553.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33503) 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 7 ways as a sum of consecutive naturals, for example, 333 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2³³⁵⁵³ is an apocalyptic number.

It is an amenable number.

33553 is a deficient number, since it is larger than the sum of its proper divisors (4247).

33553 is a wasteful number, since it uses less digits than its factorization.

33553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 675, while the sum is 19.

The square root of 33553 is about 183.1747799234. The cubic root of 33553 is about 32.2535200372.

The spelling of 33553 in words is "thirty-three thousand, five hundred fifty-three".