33642081 has 32 divisors (see below), whose sum is σ = 54720000. Its totient is φ = 20258640.

The previous prime is 33642073. The next prime is 33642113. The reversal of 33642081 is 18024633.

It is a happy number.

It is not a de Polignac number, because 33642081 - 2³ = 33642073 is a prime.

It is a super-2 number, since 2×33642081² = 2263579228021122, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33642041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67170 + ... + 67668.

It is an arithmetic number, because the mean of its divisors is an integer number (1710000).

Almost surely, 2^33642081 is an apocalyptic number.

It is an amenable number.

33642081 is a deficient number, since it is larger than the sum of its proper divisors (21077919).

33642081 is a wasteful number, since it uses less digits than its factorization.

33642081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33642081 is about 5800.1793937774. The cubic root of 33642081 is about 322.8203846941.

It can be divided in two parts, 3364 and 2081, that added together give a palindrome (5445).

The spelling of 33642081 in words is "thirty-three million, six hundred forty-two thousand, eighty-one".