Search a number
33612 = 2232801

33612 has 12 divisors (see below), whose sum is σ = 78456. Its totient is φ = 11200.

The previous prime is 33601. The next prime is 33613. The reversal of 33612 is 21633.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×336122 = 2259533088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33591 and 33600.

It is not an unprimeable number, because it can be changed into a prime (33613) 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, 1389 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (6538).

233612 is an apocalyptic number.

It is an amenable number.

33612 is an abundant number, since it is smaller than the sum of its proper divisors (44844).

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 (39228).

33612 is a wasteful number, since it uses less digits than its factorization.

33612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2806 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 33612 is about 183.3357575597. The cubic root of 33612 is about 32.2724139600.

The spelling of 33612 in words is "thirty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 2801 5602 8403 11204 16806 33612