33736 has 8 divisors (see below), whose sum is σ = 63270. Its totient is φ = 16864.

The previous prime is 33721. The next prime is 33739. The reversal of 33736 is 63733.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 11236 = 150^2 + 106^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33736² = 2276235392, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (33739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2101 + ... + 2116.

2³³⁷³⁶ is an apocalyptic number.

It is an amenable number.

33736 is a deficient number, since it is larger than the sum of its proper divisors (29534).

33736 is a wasteful number, since it uses less digits than its factorization.

33736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4219 counting only the distinct ones).

The product of its digits is 1134, while the sum is 22.

The square root of 33736 is about 183.6736235827. The cubic root of 33736 is about 32.3120512753.

It can be divided in two parts, 337 and 36, that added together give a palindrome (373).

The spelling of 33736 in words is "thirty-three thousand, seven hundred thirty-six".