85749 has 8 divisors (see below), whose sum is σ = 115872. Its totient is φ = 56400.

The previous prime is 85733. The next prime is 85751. The reversal of 85749 is 94758.

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

It is not a de Polignac number, because 85749 - 2⁴ = 85733 is a prime.

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 (85049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (14484).

2⁸⁵⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

85749 is a deficient number, since it is larger than the sum of its proper divisors (30123).

85749 is a wasteful number, since it uses less digits than its factorization.

85749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 10080, while the sum is 33.

The square root of 85749 is about 292.8293018125. The cubic root of 85749 is about 44.0970653278.

Subtracting 85749 from its reverse (94758), we obtain a palindrome (9009).

The spelling of 85749 in words is "eighty-five thousand, seven hundred forty-nine".