85746 has 16 divisors (see below), whose sum is σ = 177408. Its totient is φ = 27600.

The previous prime is 85733. The next prime is 85751. The reversal of 85746 is 64758.

It is a happy number.

It is a plaindrome in base 14.

It is an unprimeable number.

85746 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2⁸⁵⁷⁴⁶ is an apocalyptic number.

85746 is an abundant number, since it is smaller than the sum of its proper divisors (91662).

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 (88704).

85746 is a wasteful number, since it uses less digits than its factorization.

85746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497.

The product of its digits is 6720, while the sum is 30.

The square root of 85746 is about 292.8241793295. The cubic root of 85746 is about 44.0965510643.

It can be divided in two parts, 857 and 46, that added together give a triangular number (903 = T₄₂).

The spelling of 85746 in words is "eighty-five thousand, seven hundred forty-six".