85362 has 16 divisors (see below), whose sum is σ = 175392. Its totient is φ = 27680.

The previous prime is 85361. The next prime is 85363. The reversal of 85362 is 26358.

It is an interprime number because it is at equal distance from previous prime (85361) and next prime (85363).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 8³ + 5⁷ + 3⁸ + 6² + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (85361) 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, 73 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (10962).

2⁸⁵³⁶² is an apocalyptic number.

85362 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

85362 is an abundant number, since it is smaller than the sum of its proper divisors (90030).

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 (87696).

85362 is a wasteful number, since it uses less digits than its factorization.

85362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its digits is 1440, while the sum is 24.

The square root of 85362 is about 292.1677600284. The cubic root of 85362 is about 44.0306260608.

The spelling of 85362 in words is "eighty-five thousand, three hundred sixty-two".