33814152 has 64 divisors (see below), whose sum is σ = 96489600. Its totient is φ = 10964160.

The previous prime is 33814127. The next prime is 33814171. The reversal of 33814152 is 25141833.

It is a happy number.

It is a super-2 number, since 2×33814152² = 2286793750958208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5877 + ... + 10107.

It is an arithmetic number, because the mean of its divisors is an integer number (1507650).

Almost surely, 2^33814152 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 33814152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48244800).

33814152 is an abundant number, since it is smaller than the sum of its proper divisors (62675448).

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

33814152 is a wasteful number, since it uses less digits than its factorization.

33814152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4273 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 33814152 is about 5814.9937231264. The cubic root of 33814152 is about 323.3698313802.

Adding to 33814152 its reverse (25141833), we get a palindrome (58955985).

The spelling of 33814152 in words is "thirty-three million, eight hundred fourteen thousand, one hundred fifty-two".