85158 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 26568.

The previous prime is 85147. The next prime is 85159.

85158 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85159) by changing a digit.

85158 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁸⁵¹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

85158 is an abundant number, since it is smaller than the sum of its proper divisors (116442).

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

85158 is a wasteful number, since it uses less digits than its factorization.

85158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 85158 is about 291.8184367034. The cubic root of 85158 is about 43.9955229605.

It can be divided in two parts, 851 and 58, that added together give a palindrome (909).

The spelling of 85158 in words is "eighty-five thousand, one hundred fifty-eight".