33147 has 12 divisors (see below), whose sum is σ = 49920. Its totient is φ = 21168.

The previous prime is 33119. The next prime is 33149. The reversal of 33147 is 74133.

33147 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33147 - 2⁶ = 33083 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33147.

It is not an unprimeable number, because it can be changed into a prime (33149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

2³³¹⁴⁷ is an apocalyptic number.

33147 is a deficient number, since it is larger than the sum of its proper divisors (16773).

33147 is a wasteful number, since it uses less digits than its factorization.

33147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 33147 is about 182.0631758484. The cubic root of 33147 is about 32.1228997804.

It can be divided in two parts, 3314 and 7, that added together give a triangular number (3321 = T₈₁).

The spelling of 33147 in words is "thirty-three thousand, one hundred forty-seven".