33342984 has 48 divisors (see below), whose sum is σ = 95619420. Its totient is φ = 10460160.

The previous prime is 33342979. The next prime is 33342997. The reversal of 33342984 is 48924333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 8122500 = 5022^2 + 2850^2 .

It is a super-2 number, since 2×33342984² = 2223509164048512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12397 + ... + 14844.

Almost surely, 2^33342984 is an apocalyptic number.

33342984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

33342984 is an abundant number, since it is smaller than the sum of its proper divisors (62276436).

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

33342984 is a wasteful number, since it uses less digits than its factorization.

33342984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27270 (or 27263 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 33342984 is about 5774.3384036615. The cubic root of 33342984 is about 321.8608505924.

The spelling of 33342984 in words is "thirty-three million, three hundred forty-two thousand, nine hundred eighty-four".