83231940 has 96 divisors (see below), whose sum is σ = 265337856. Its totient is φ = 19296640.

The previous prime is 83231933. The next prime is 83231947. The reversal of 83231940 is 4913238.

It is an interprime number because it is at equal distance from previous prime (83231933) and next prime (83231947).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83231898 and 83231907.

It is not an unprimeable number, because it can be changed into a prime (83231947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12439 + ... + 17921.

It is an arithmetic number, because the mean of its divisors is an integer number (2763936).

Almost surely, 2^83231940 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 83231940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132668928).

83231940 is an abundant number, since it is smaller than the sum of its proper divisors (182105916).

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

83231940 is a wasteful number, since it uses less digits than its factorization.

83231940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83231940 is about 9123.1540598633. The cubic root of 83231940 is about 436.6130100015.

The spelling of 83231940 in words is "eighty-three million, two hundred thirty-one thousand, nine hundred forty".