33142820 has 24 divisors (see below), whose sum is σ = 70023744. Its totient is φ = 13176416.

The previous prime is 33142789. The next prime is 33142829. The reversal of 33142820 is 2824133.

It is not an unprimeable number, because it can be changed into a prime (33142829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (2917656).

Almost surely, 2^33142820 is an apocalyptic number.

It is an amenable number.

33142820 is an abundant number, since it is smaller than the sum of its proper divisors (36880924).

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

33142820 is a wasteful number, since it uses less digits than its factorization.

33142820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 33142820 is about 5756.9801111347. The cubic root of 33142820 is about 321.2154943837.

Adding to 33142820 its reverse (2824133), we get a palindrome (35966953).

The spelling of 33142820 in words is "thirty-three million, one hundred forty-two thousand, eight hundred twenty".