83112256 has 42 divisors (see below), whose sum is σ = 168154350. Its totient is φ = 40757760.

The previous prime is 83112247. The next prime is 83112277. The reversal of 83112256 is 65221138.

It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 82446400 = 816^2 + 9080^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237970 + ... + 238318.

It is an arithmetic number, because the mean of its divisors is an integer number (4003675).

Almost surely, 2^83112256 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 83112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84077175).

83112256 is an abundant number, since it is smaller than the sum of its proper divisors (85042094).

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

83112256 is an equidigital number, since it uses as much as digits as its factorization.

83112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 412 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 83112256 is about 9116.5923458275. The cubic root of 83112256 is about 436.4036326134.

The spelling of 83112256 in words is "eighty-three million, one hundred twelve thousand, two hundred fifty-six".