33362172 has 48 divisors (see below), whose sum is σ = 87333120. Its totient is φ = 11012976.

The previous prime is 33362159. The next prime is 33362179. The reversal of 33362172 is 27126333.

33362172 is a `hidden beast` number, since 3 + 33 + 621 + 7 + 2 = 666.

It is a super-2 number, since 2×33362172² = 2226069041115168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33362179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10113 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2^33362172 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 33362172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43666560).

33362172 is an abundant number, since it is smaller than the sum of its proper divisors (53970948).

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

33362172 is a wasteful number, since it uses less digits than its factorization.

33362172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2999 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 33362172 is about 5775.9996537396. Note that the first 3 decimals coincide. The cubic root of 33362172 is about 321.9225795376.

The spelling of 33362172 in words is "thirty-three million, three hundred sixty-two thousand, one hundred seventy-two".