33674 has 8 divisors (see below), whose sum is σ = 51300. Its totient is φ = 16576.

The previous prime is 33647. The next prime is 33679. The reversal of 33674 is 47633.

It can be written as a sum of positive squares in 2 ways, for example, as 24649 + 9025 = 157^2 + 95^2 .

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

It is a super-2 number, since 2×33674² = 2267876552, which contains 22 as substring.

33674 is an undulating number in base 15.

It is a Curzon number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (33679) 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, 152 + ... + 300.

2³³⁶⁷⁴ is an apocalyptic number.

33674 is a deficient number, since it is larger than the sum of its proper divisors (17626).

33674 is a wasteful number, since it uses less digits than its factorization.

33674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its digits is 1512, while the sum is 23.

The square root of 33674 is about 183.5047683304. The cubic root of 33674 is about 32.2922447810.

It can be divided in two parts, 33 and 674, that added together give a palindrome (707).

The spelling of 33674 in words is "thirty-three thousand, six hundred seventy-four".