85753 has 4 divisors (see below), whose sum is σ = 88740. Its totient is φ = 82768.

The previous prime is 85751. The next prime is 85781. The reversal of 85753 is 35758.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 56169 = 172^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 85753 - 2¹ = 85751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85751) 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 3 ways as a sum of consecutive naturals, for example, 1450 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (22185).

2⁸⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

85753 is a deficient number, since it is larger than the sum of its proper divisors (2987).

85753 is a wasteful number, since it uses less digits than its factorization.

85753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986.

The product of its digits is 4200, while the sum is 28.

The square root of 85753 is about 292.8361316505. The cubic root of 85753 is about 44.0977509938.

It can be divided in two parts, 85 and 753, that added together give a palindrome (838).

The spelling of 85753 in words is "eighty-five thousand, seven hundred fifty-three".