33361152 has 108 divisors (see below), whose sum is σ = 97866720. Its totient is φ = 10081280.

The previous prime is 33361127. The next prime is 33361171. The reversal of 33361152 is 25116333.

It is a happy number.

It is a super-2 number, since 2×33361152² = 2225932925534208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 92749 + ... + 93107.

Almost surely, 2^33361152 is an apocalyptic number.

33361152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48933360).

33361152 is an abundant number, since it is smaller than the sum of its proper divisors (64505568).

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

33361152 is a wasteful number, since it uses less digits than its factorization.

33361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 375 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 33361152 is about 5775.9113566605. The cubic root of 33361152 is about 321.9192987322.

Adding to 33361152 its reverse (25116333), we get a palindrome (58477485).

The spelling of 33361152 in words is "thirty-three million, three hundred sixty-one thousand, one hundred fifty-two".