85820093 has 12 divisors (see below), whose sum is σ = 92628480. Its totient is φ = 79290720.

The previous prime is 85820089. The next prime is 85820101. The reversal of 85820093 is 39002858.

It is not a de Polignac number, because 85820093 - 2² = 85820089 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85820023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30596 + ... + 33282.

It is an arithmetic number, because the mean of its divisors is an integer number (7719040).

Almost surely, 2^85820093 is an apocalyptic number.

It is an amenable number.

85820093 is a deficient number, since it is larger than the sum of its proper divisors (6808387).

85820093 is a wasteful number, since it uses less digits than its factorization.

85820093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 85820093 is about 9263.9134818931. The cubic root of 85820093 is about 441.0924866398.

The spelling of 85820093 in words is "eighty-five million, eight hundred twenty thousand, ninety-three".