85358 has 24 divisors (see below), whose sum is σ = 162792. Its totient is φ = 33264.

The previous prime is 85333. The next prime is 85361.

85358 is nontrivially palindromic in base 10.

Its product of digits (4800) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 85358.

It is a congruent number.

It is an unprimeable number.

85358 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 11 ways as a sum of consecutive naturals, for example, 1241 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (6783).

85358 is a Friedman number, since it can be written as (8+5)*(5+3^8), using all its digits and the basic arithmetic operations.

2⁸⁵³⁵⁸ is an apocalyptic number.

85358 is a deficient number, since it is larger than the sum of its proper divisors (77434).

85358 is a wasteful number, since it uses less digits than its factorization.

85358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 85358 is about 292.1609145659. The cubic root of 85358 is about 44.0299383026.

The spelling of 85358 in words is "eighty-five thousand, three hundred fifty-eight".