85146 has 16 divisors (see below), whose sum is σ = 177984. Its totient is φ = 27104.

The previous prime is 85133. The next prime is 85147. The reversal of 85146 is 64158.

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 Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85146.

It is not an unprimeable number, because it can be changed into a prime (85147) 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, 171 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (11124).

2⁸⁵¹⁴⁶ is an apocalyptic number.

85146 is an abundant number, since it is smaller than the sum of its proper divisors (92838).

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 (88992).

85146 is a wasteful number, since it uses less digits than its factorization.

85146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645.

The product of its digits is 960, while the sum is 24.

The square root of 85146 is about 291.7978752493. The cubic root of 85146 is about 43.9934563271.

It can be divided in two parts, 85 and 146, that added together give a triangular number (231 = T₂₁).

The spelling of 85146 in words is "eighty-five thousand, one hundred forty-six".