33957144 has 160 divisors (see below), whose sum is σ = 106722000. Its totient is φ = 10015488.

The previous prime is 33957139. The next prime is 33957151. The reversal of 33957144 is 44175933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33957099 and 33957108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244227 + ... + 244365.

Almost surely, 2^33957144 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 33957144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361000).

33957144 is an abundant number, since it is smaller than the sum of its proper divisors (72764856).

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

33957144 is a wasteful number, since it uses less digits than its factorization.

33957144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 33957144 is about 5827.2758644156. The cubic root of 33957144 is about 323.8250083851.

The spelling of 33957144 in words is "thirty-three million, nine hundred fifty-seven thousand, one hundred forty-four".