73585 has 4 divisors (see below), whose sum is σ = 88308. Its totient is φ = 58864.

The previous prime is 73583. The next prime is 73589. The reversal of 73585 is 58537.

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 23409 + 50176 = 153^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 73585 - 2¹ = 73583 is a prime.

It is a super-3 number, since 3×73585³ = 1195333627429875, which contains 333 as substring.

It is a Duffinian number.

73585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7354 + ... + 7363.

It is an arithmetic number, because the mean of its divisors is an integer number (22077).

2⁷³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

73585 is a deficient number, since it is larger than the sum of its proper divisors (14723).

73585 is a wasteful number, since it uses less digits than its factorization.

73585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14722.

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

The square root of 73585 is about 271.2655525495. The cubic root of 73585 is about 41.9047349510.

It can be divided in two parts, 735 and 85, that added together give a triangular number (820 = T₄₀).

The spelling of 73585 in words is "seventy-three thousand, five hundred eighty-five".