85149 has 6 divisors (see below), whose sum is σ = 123006. Its totient is φ = 56760.

The previous prime is 85147. The next prime is 85159. The reversal of 85149 is 94158.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 5625 = 282^2 + 75^2 .

It is not a de Polignac number, because 85149 - 2¹ = 85147 is a prime.

It is a Curzon number.

85149 is a lucky number.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4722 + ... + 4739.

It is an arithmetic number, because the mean of its divisors is an integer number (20501).

2⁸⁵¹⁴⁹ is an apocalyptic number.

It is an amenable number.

85149 is a deficient number, since it is larger than the sum of its proper divisors (37857).

85149 is a wasteful number, since it uses less digits than its factorization.

85149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467 (or 9464 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 85149 is about 291.8030157486. The cubic root of 85149 is about 43.9939730037.

Subtracting 85149 from its reverse (94158), we obtain a palindrome (9009).

It can be divided in two parts, 851 and 49, that added together give a square (900 = 30²).

The spelling of 85149 in words is "eighty-five thousand, one hundred forty-nine".