33538 has 8 divisors (see below), whose sum is σ = 51660. Its totient is φ = 16320.

The previous prime is 33533. The next prime is 33547. The reversal of 33538 is 83533.

It can be written as a sum of positive squares in 2 ways, for example, as 33489 + 49 = 183^2 + 7^2 .

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

It is a super-2 number, since 2×33538² = 2249594888, which contains 22 as substring.

It is a magnanimous number.

It is a d-powerful number, because it can be written as 3² + 3³ + 5 + 3⁶ + 8⁵ .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 286.

2³³⁵³⁸ is an apocalyptic number.

33538 is a deficient number, since it is larger than the sum of its proper divisors (18122).

33538 is a wasteful number, since it uses less digits than its factorization.

33538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452.

The product of its digits is 1080, while the sum is 22.

The square root of 33538 is about 183.1338308451. The cubic root of 33538 is about 32.2487129667.

It can be divided in two parts, 335 and 38, that added together give a palindrome (373).

The spelling of 33538 in words is "thirty-three thousand, five hundred thirty-eight".