85824441 has 36 divisors (see below), whose sum is σ = 131003392. Its totient is φ = 56214648.

The previous prime is 85824433. The next prime is 85824457. The reversal of 85824441 is 14442858.

It is not a de Polignac number, because 85824441 - 2³ = 85824433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85824396 and 85824405.

It is not an unprimeable number, because it can be changed into a prime (85824481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 675720 + ... + 675846.

Almost surely, 2^85824441 is an apocalyptic number.

85824441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85824441 is a deficient number, since it is larger than the sum of its proper divisors (45178951).

85824441 is an equidigital number, since it uses as much as digits as its factorization.

85824441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 85824441 is about 9264.1481529604. The cubic root of 85824441 is about 441.0999357024.

The spelling of 85824441 in words is "eighty-five million, eight hundred twenty-four thousand, four hundred forty-one".