33114048 has 56 divisors (see below), whose sum is σ = 95585280. Its totient is φ = 10033920.

The previous prime is 33114047. The next prime is 33114061. The reversal of 33114048 is 84041133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33114047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5728 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (1706880).

Almost surely, 2^33114048 is an apocalyptic number.

It is an amenable number.

33114048 is an abundant number, since it is smaller than the sum of its proper divisors (62471232).

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

33114048 is a wasteful number, since it uses less digits than its factorization.

33114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15705 (or 15695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 33114048 is about 5754.4806889936. The cubic root of 33114048 is about 321.1225160966.

The spelling of 33114048 in words is "thirty-three million, one hundred fourteen thousand, forty-eight".