83297144 has 64 divisors (see below), whose sum is σ = 192326400. Its totient is φ = 33007104.

The previous prime is 83297089. The next prime is 83297167. The reversal of 83297144 is 44179238.

It is a junction number, because it is equal to n+sod(n) for n = 83297098 and 83297107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55427 + ... + 56909.

It is an arithmetic number, because the mean of its divisors is an integer number (3005100).

Almost surely, 2^83297144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83297144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96163200).

83297144 is an abundant number, since it is smaller than the sum of its proper divisors (109029256).

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

83297144 is a wasteful number, since it uses less digits than its factorization.

83297144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 83297144 is about 9126.7269050849. The cubic root of 83297144 is about 436.7269946239.

The spelling of 83297144 in words is "eighty-three million, two hundred ninety-seven thousand, one hundred forty-four".