85092 has 24 divisors (see below), whose sum is σ = 227136. Its totient is φ = 24288.

The previous prime is 85091. The next prime is 85093. The reversal of 85092 is 29058.

It is an interprime number because it is at equal distance from previous prime (85091) and next prime (85093).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85092.

It is not an unprimeable number, because it can be changed into a prime (85091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2⁸⁵⁰⁹² is an apocalyptic number.

It is an amenable number.

85092 is an abundant number, since it is smaller than the sum of its proper divisors (142044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113568).

85092 is a wasteful number, since it uses less digits than its factorization.

85092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1025 counting only the distinct ones).

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

The square root of 85092 is about 291.7053307706. The cubic root of 85092 is about 43.9841540736.

The spelling of 85092 in words is "eighty-five thousand, ninety-two".