85758 has 8 divisors (see below), whose sum is σ = 171528. Its totient is φ = 28584.

The previous prime is 85751. The next prime is 85781.

85758 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

85758 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7141 + ... + 7152.

It is an arithmetic number, because the mean of its divisors is an integer number (21441).

2⁸⁵⁷⁵⁸ is an apocalyptic number.

85758 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (85764).

85758 is a wasteful number, since it uses less digits than its factorization.

85758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14298.

The product of its digits is 11200, while the sum is 33.

The square root of 85758 is about 292.8446687239. The cubic root of 85758 is about 44.0986080463.

It can be divided in two parts, 8 and 5758, that multiplied together give a palindrome (46064).

The spelling of 85758 in words is "eighty-five thousand, seven hundred fifty-eight".