33666822 has 120 divisors (see below), whose sum is σ = 91760760. Its totient is φ = 8890560.

The previous prime is 33666821. The next prime is 33666823. The reversal of 33666822 is 22866633.

It is an interprime number because it is at equal distance from previous prime (33666821) and next prime (33666823).

It is a super-2 number, since 2×33666822² = 2266909807159368, which contains 22 as substring.

Its product of digits (62208) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33666821) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 821122 + ... + 821162.

It is an arithmetic number, because the mean of its divisors is an integer number (764673).

Almost surely, 2^33666822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33666822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45880380).

33666822 is an abundant number, since it is smaller than the sum of its proper divisors (58093938).

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

33666822 is a wasteful number, since it uses less digits than its factorization.

33666822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 33666822 is about 5802.3117806612. The cubic root of 33666822 is about 322.8995013024.

The spelling of 33666822 in words is "thirty-three million, six hundred sixty-six thousand, eight hundred twenty-two".