85205441 has 8 divisors (see below), whose sum is σ = 86988864. Its totient is φ = 83437200.

The previous prime is 85205429. The next prime is 85205507. The reversal of 85205441 is 14450258.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85205441 - 2¹⁸ = 84943297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85205641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7916 + ... + 15266.

It is an arithmetic number, because the mean of its divisors is an integer number (10873608).

Almost surely, 2^85205441 is an apocalyptic number.

It is an amenable number.

85205441 is a deficient number, since it is larger than the sum of its proper divisors (1783423).

85205441 is a wasteful number, since it uses less digits than its factorization.

85205441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591.

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 85205441 is about 9230.6793357802. The cubic root of 85205441 is about 440.0369132254.

Adding to 85205441 its reverse (14450258), we get a palindrome (99655699).

The spelling of 85205441 in words is "eighty-five million, two hundred five thousand, four hundred forty-one".