85801367 has 8 divisors (see below), whose sum is σ = 87773952. Its totient is φ = 83835000.

The previous prime is 85801361. The next prime is 85801381. The reversal of 85801367 is 76310858.

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 85801367 - 2¹⁶ = 85735831 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85801367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85801361) 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, 36992 + ... + 39242.

It is an arithmetic number, because the mean of its divisors is an integer number (10971744).

Almost surely, 2^85801367 is an apocalyptic number.

85801367 is a deficient number, since it is larger than the sum of its proper divisors (1972585).

85801367 is a wasteful number, since it uses less digits than its factorization.

85801367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 85801367 is about 9262.9027307859. The cubic root of 85801367 is about 441.0604020837.

It can be divided in two parts, 85801 and 367, that added together give a palindrome (86168).

The spelling of 85801367 in words is "eighty-five million, eight hundred one thousand, three hundred sixty-seven".