83332144 has 30 divisors (see below), whose sum is σ = 187817964. Its totient is φ = 35713440.

The previous prime is 83332141. The next prime is 83332153. The reversal of 83332144 is 44123338.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (83332141) 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 5 ways as a sum of consecutive naturals, for example, 52362 + ... + 53929.

Almost surely, 2^83332144 is an apocalyptic number.

It is an amenable number.

83332144 is an abundant number, since it is smaller than the sum of its proper divisors (104485820).

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

83332144 is a wasteful number, since it uses less digits than its factorization.

83332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106313 (or 106300 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 83332144 is about 9128.6441490508. The cubic root of 83332144 is about 436.7881544015.

The spelling of 83332144 in words is "eighty-three million, three hundred thirty-two thousand, one hundred forty-four".