83823432 has 128 divisors (see below), whose sum is σ = 265559040. Its totient is φ = 21415680.

The previous prime is 83823401. The next prime is 83823437. The reversal of 83823432 is 23432838.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a junction number, because it is equal to n+sod(n) for n = 83823393 and 83823402.

It is not an unprimeable number, because it can be changed into a prime (83823437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123478 + ... + 124154.

It is an arithmetic number, because the mean of its divisors is an integer number (2074680).

Almost surely, 2^83823432 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 83823432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132779520).

83823432 is an abundant number, since it is smaller than the sum of its proper divisors (181735608).

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

83823432 is a wasteful number, since it uses less digits than its factorization.

83823432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 83823432 is about 9155.5137485561. The cubic root of 83823432 is about 437.6448404242.

It can be divided in two parts, 83823 and 432, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 83823432 in words is "eighty-three million, eight hundred twenty-three thousand, four hundred thirty-two".