83287944 has 96 divisors (see below), whose sum is σ = 240084000. Its totient is φ = 26009856.

The previous prime is 83287943. The next prime is 83287949. The reversal of 83287944 is 44978238.

It is a self number, because there is not a number n which added to its sum of digits gives 83287944.

It is not an unprimeable number, because it can be changed into a prime (83287943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146092 + ... + 146660.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 2^83287944 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 83287944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042000).

83287944 is an abundant number, since it is smaller than the sum of its proper divisors (156796056).

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

83287944 is a wasteful number, since it uses less digits than its factorization.

83287944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83287944 is about 9126.2228769628. Note that the first 3 decimals coincide. The cubic root of 83287944 is about 436.7109154960.

The spelling of 83287944 in words is "eighty-three million, two hundred eighty-seven thousand, nine hundred forty-four".