83814192 has 120 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 21767040.

The previous prime is 83814179. The next prime is 83814197. The reversal of 83814192 is 29141838.

It is a super-2 number, since 2×83814192² = 14049637561225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83814197) 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, 7309 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^83814192 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 83814192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

83814192 is an abundant number, since it is smaller than the sum of its proper divisors (208667088).

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

83814192 is a wasteful number, since it uses less digits than its factorization.

83814192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7582 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 83814192 is about 9155.0091206945. The cubic root of 83814192 is about 437.6287590540.

The spelling of 83814192 in words is "eighty-three million, eight hundred fourteen thousand, one hundred ninety-two".