33474 has 16 divisors (see below), whose sum is σ = 76608. Its totient is φ = 9552.

The previous prime is 33469. The next prime is 33479. The reversal of 33474 is 47433.

It is an interprime number because it is at equal distance from previous prime (33469) and next prime (33479).

It is a super-2 number, since 2×33474² = 2241017352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33474.

It is not an unprimeable number, because it can be changed into a prime (33479) by changing a digit.

33474 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2³³⁴⁷⁴ is an apocalyptic number.

33474 is an abundant number, since it is smaller than the sum of its proper divisors (43134).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

33474 is a wasteful number, since it uses less digits than its factorization.

33474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809.

The product of its digits is 1008, while the sum is 21.

The square root of 33474 is about 182.9590118032. The cubic root of 33474 is about 32.2281866794.

The spelling of 33474 in words is "thirty-three thousand, four hundred seventy-four".