83193856 has 52 divisors (see below), whose sum is σ = 175287400. Its totient is φ = 39370752.

The previous prime is 83193841. The next prime is 83193857. The reversal of 83193856 is 65839138.

It is a super-2 number, since 2×83193856² = 13842435352297472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83193857) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77290 + ... + 78358.

Almost surely, 2^83193856 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 83193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87643700).

83193856 is an abundant number, since it is smaller than the sum of its proper divisors (92093544).

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

83193856 is a wasteful number, since it uses less digits than its factorization.

83193856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1090 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 83193856 is about 9121.0666042958. The cubic root of 83193856 is about 436.5464069377.

The spelling of 83193856 in words is "eighty-three million, one hundred ninety-three thousand, eight hundred fifty-six".