92085 has 16 divisors (see below), whose sum is σ = 168576. Its totient is φ = 42048.

The previous prime is 92083. The next prime is 92107. The reversal of 92085 is 58029.

It is not a de Polignac number, because 92085 - 2¹ = 92083 is a prime.

92085 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92085.

It is not an unprimeable number, because it can be changed into a prime (92083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (10536).

2⁹²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

92085 is a deficient number, since it is larger than the sum of its proper divisors (76491).

92085 is a wasteful number, since it uses less digits than its factorization.

92085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 92085 is about 303.4551037633. The cubic root of 92085 is about 45.1574729876.

The spelling of 92085 in words is "ninety-two thousand, eighty-five".