33147140 has 72 divisors (see below), whose sum is σ = 78689688. Its totient is φ = 11658240.

The previous prime is 33147139. The next prime is 33147143. The reversal of 33147140 is 4174133.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 30980356 = 1472^2 + 5566^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33147143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137420 + ... + 137660.

Almost surely, 2^33147140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33147140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39344844).

33147140 is an abundant number, since it is smaller than the sum of its proper divisors (45542548).

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

33147140 is a wasteful number, since it uses less digits than its factorization.

33147140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 33147140 is about 5757.3552956197. The cubic root of 33147140 is about 321.2294500524.

The spelling of 33147140 in words is "thirty-three million, one hundred forty-seven thousand, one hundred forty".