33979242 has 64 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 9676800.

The previous prime is 33979223. The next prime is 33979279. The reversal of 33979242 is 24297933.

33979242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 33979242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78258 + ... + 78690.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^33979242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33979242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

33979242 is an abundant number, since it is smaller than the sum of its proper divisors (44765718).

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

33979242 is a wasteful number, since it uses less digits than its factorization.

33979242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its digits is 81648, while the sum is 39.

The square root of 33979242 is about 5829.1716392640. The cubic root of 33979242 is about 323.8952374297.

The spelling of 33979242 in words is "thirty-three million, nine hundred seventy-nine thousand, two hundred forty-two".