83718441 has 20 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 55637496.

The previous prime is 83718419. The next prime is 83718487. The reversal of 83718441 is 14481738.

It is not a de Polignac number, because 83718441 - 2¹⁵ = 83685673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83718396 and 83718405.

It is not an unprimeable number, because it can be changed into a prime (83718491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27640 + ... + 30518.

It is an arithmetic number, because the mean of its divisors is an integer number (6272640).

Almost surely, 2^83718441 is an apocalyptic number.

83718441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

83718441 is a deficient number, since it is larger than the sum of its proper divisors (41734359).

83718441 is a wasteful number, since it uses less digits than its factorization.

83718441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3241 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 83718441 is about 9149.7781940329. The cubic root of 83718441 is about 437.4620436187.

It can be divided in two parts, 837184 and 41, that added together give a square (837225 = 915²).

The spelling of 83718441 in words is "eighty-three million, seven hundred eighteen thousand, four hundred forty-one".