33332166 has 48 divisors (see below), whose sum is σ = 83226624. Its totient is φ = 9443952.

The previous prime is 33332149. The next prime is 33332171. The reversal of 33332166 is 66123333.

33332166 is a `hidden beast` number, since 333 + 321 + 6 + 6 = 666.

It is a super-2 number, since 2×33332166² = 2222066580503112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14961 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (1733888).

Almost surely, 2^33332166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33332166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41613312).

33332166 is an abundant number, since it is smaller than the sum of its proper divisors (49894458).

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

33332166 is a wasteful number, since it uses less digits than its factorization.

33332166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2222 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 33332166 is about 5773.4015969790. The cubic root of 33332166 is about 321.8260379982.

Adding to 33332166 its reverse (66123333), we get a palindrome (99455499).

The spelling of 33332166 in words is "thirty-three million, three hundred thirty-two thousand, one hundred sixty-six".