333085242 has 64 divisors (see below), whose sum is σ = 803808000. Its totient is φ = 91869120.

The previous prime is 333085237. The next prime is 333085243. The reversal of 333085242 is 242580333.

It is a super-2 number, since 2×333085242² = 221891556876397128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333085243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56892 + ... + 62472.

It is an arithmetic number, because the mean of its divisors is an integer number (12559500).

Almost surely, 2^333085242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333085242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401904000).

333085242 is an abundant number, since it is smaller than the sum of its proper divisors (470722758).

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

333085242 is a wasteful number, since it uses less digits than its factorization.

333085242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5636 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 333085242 is about 18250.6230578575. The cubic root of 333085242 is about 693.1892147340.

The spelling of 333085242 in words is "three hundred thirty-three million, eighty-five thousand, two hundred forty-two".