85584341 has 16 divisors (see below), whose sum is σ = 95852160. Its totient is φ = 75939840.

The previous prime is 85584337. The next prime is 85584349. The reversal of 85584341 is 14348558.

It is a cyclic number.

It is not a de Polignac number, because 85584341 - 2² = 85584337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85584295 and 85584304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85584349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82496 + ... + 83526.

It is an arithmetic number, because the mean of its divisors is an integer number (5990760).

Almost surely, 2^85584341 is an apocalyptic number.

It is an amenable number.

85584341 is a deficient number, since it is larger than the sum of its proper divisors (10267819).

85584341 is a wasteful number, since it uses less digits than its factorization.

85584341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324.

The product of its digits is 76800, while the sum is 38.

The square root of 85584341 is about 9251.1805192635. The cubic root of 85584341 is about 440.6882153388.

The spelling of 85584341 in words is "eighty-five million, five hundred eighty-four thousand, three hundred forty-one".