33942112 has 48 divisors (see below), whose sum is σ = 70543872. Its totient is φ = 16044160.

The previous prime is 33942109. The next prime is 33942127. The reversal of 33942112 is 21124933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78537 + ... + 78967.

It is an arithmetic number, because the mean of its divisors is an integer number (1469664).

Almost surely, 2^33942112 is an apocalyptic number.

33942112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33942112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35271936).

33942112 is an abundant number, since it is smaller than the sum of its proper divisors (36601760).

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

33942112 is a wasteful number, since it uses less digits than its factorization.

33942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 563 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 33942112 is about 5825.9859251461. The cubic root of 33942112 is about 323.7772181864. Note that the first 3 decimals are identical.

The spelling of 33942112 in words is "thirty-three million, nine hundred forty-two thousand, one hundred twelve".