33724 has 6 divisors (see below), whose sum is σ = 59024. Its totient is φ = 16860.

The previous prime is 33721. The next prime is 33739. The reversal of 33724 is 42733.

33724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33724² = 2274616352, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4212 + ... + 4219.

2³³⁷²⁴ is an apocalyptic number.

It is an amenable number.

33724 is a deficient number, since it is larger than the sum of its proper divisors (25300).

33724 is a wasteful number, since it uses less digits than its factorization.

33724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8433 counting only the distinct ones).

The product of its digits is 504, while the sum is 19.

The square root of 33724 is about 183.6409540380. The cubic root of 33724 is about 32.3082196553.

Subtracting 33724 from its reverse (42733), we obtain a palindrome (9009).

It can be divided in two parts, 337 and 24, that added together give a square (361 = 19²).

The spelling of 33724 in words is "thirty-three thousand, seven hundred twenty-four".