33420712 has 32 divisors (see below), whose sum is σ = 67848480. Its totient is φ = 15341760.

The previous prime is 33420707. The next prime is 33420721. The reversal of 33420712 is 21702433.

It is a super-2 number, since 2×33420712² = 2233887981173888, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21183 + ... + 22705.

It is an arithmetic number, because the mean of its divisors is an integer number (2120265).

Almost surely, 2^33420712 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 33420712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33924240).

33420712 is an abundant number, since it is smaller than the sum of its proper divisors (34427768).

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

33420712 is a wasteful number, since it uses less digits than its factorization.

33420712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 33420712 is about 5781.0649537953. The cubic root of 33420712 is about 322.1107600914.

The spelling of 33420712 in words is "thirty-three million, four hundred twenty thousand, seven hundred twelve".