85144 has 16 divisors (see below), whose sum is σ = 165600. Its totient is φ = 40992.

The previous prime is 85133. The next prime is 85147. The reversal of 85144 is 44158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85147) by changing a digit.

85144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (10350).

2⁸⁵¹⁴⁴ is an apocalyptic number.

It is an amenable number.

85144 is a deficient number, since it is larger than the sum of its proper divisors (80456).

85144 is a wasteful number, since it uses less digits than its factorization.

85144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 85144 is about 291.7944481994. The cubic root of 85144 is about 43.9931118694.

The spelling of 85144 in words is "eighty-five thousand, one hundred forty-four".