33730 has 8 divisors (see below), whose sum is σ = 60732. Its totient is φ = 13488.

The previous prime is 33721. The next prime is 33739. The reversal of 33730 is 3733.

33730 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (33721) and next prime (33739).

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 2401 = 177^2 + 49^2 .

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

It is a super-2 number, since 2×33730² = 2275425800, which contains 22 as substring.

It is a plaindrome in base 13.

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

33730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1677 + ... + 1696.

2³³⁷³⁰ is an apocalyptic number.

33730 is a deficient number, since it is larger than the sum of its proper divisors (27002).

33730 is a wasteful number, since it uses less digits than its factorization.

33730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380.

The product of its (nonzero) digits is 189, while the sum is 16.

The square root of 33730 is about 183.6572895368. The cubic root of 33730 is about 32.3101355789.

It can be divided in two parts, 33 and 730, that multiplied together give a triangular number (24090 = T₂₁₉).

The spelling of 33730 in words is "thirty-three thousand, seven hundred thirty".