33822642 has 48 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 9328032.

The previous prime is 33822631. The next prime is 33822653. The reversal of 33822642 is 24622833.

It is an interprime number because it is at equal distance from previous prime (33822631) and next prime (33822653).

It is a super-2 number, since 2×33822642² = 2287942223720328, which contains 22 as substring.

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, 6543 + ... + 10509.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^33822642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33822642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

33822642 is an abundant number, since it is smaller than the sum of its proper divisors (47600718).

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

33822642 is a wasteful number, since it uses less digits than its factorization.

33822642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4008 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 33822642 is about 5815.7236866963. The cubic root of 33822642 is about 323.3968928320.

The spelling of 33822642 in words is "thirty-three million, eight hundred twenty-two thousand, six hundred forty-two".