33534 has 28 divisors (see below), whose sum is σ = 78696. Its totient is φ = 10692.

The previous prime is 33533. The next prime is 33547. The reversal of 33534 is 43533.

It is a happy number.

It is a super-2 number, since 2×33534² = 2249058312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 1447 + ... + 1469.

2³³⁵³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39348).

33534 is an abundant number, since it is smaller than the sum of its proper divisors (45162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33534 is an equidigital number, since it uses as much as digits as its factorization.

33534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 28 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 33534 is about 183.1229095444. The cubic root of 33534 is about 32.2474308391.

Subtracting 33534 from its reverse (43533), we obtain a palindrome (9999).

The spelling of 33534 in words is "thirty-three thousand, five hundred thirty-four".