83917242 has 64 divisors (see below), whose sum is σ = 197769600. Its totient is φ = 26328960.

The previous prime is 83917199. The next prime is 83917291. The reversal of 83917242 is 24271938.

It is a junction number, because it is equal to n+sod(n) for n = 83917197 and 83917206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63553 + ... + 64859.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 2^83917242 is an apocalyptic number.

83917242 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 83917242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98884800).

83917242 is an abundant number, since it is smaller than the sum of its proper divisors (113852358).

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

83917242 is a wasteful number, since it uses less digits than its factorization.

83917242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1382 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 83917242 is about 9160.6354583075. The cubic root of 83917242 is about 437.8080412359.

It can be divided in two parts, 839 and 17242, that added together give a palindrome (18081).

The spelling of 83917242 in words is "eighty-three million, nine hundred seventeen thousand, two hundred forty-two".