107585 has 4 divisors (see below), whose sum is σ = 129108. Its totient is φ = 86064.

The previous prime is 107581. The next prime is 107599. The reversal of 107585 is 585701.

It is a Cunningham number, because it is equal to 328²+1.

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 38416 + 69169 = 196^2 + 263^2 .

It is a cyclic number.

It is not a de Polignac number, because 107585 - 2² = 107581 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107585.

It is not an unprimeable number, because it can be changed into a prime (107581) 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, 10754 + ... + 10763.

It is an arithmetic number, because the mean of its divisors is an integer number (32277).

2¹⁰⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

107585 is a deficient number, since it is larger than the sum of its proper divisors (21523).

107585 is an equidigital number, since it uses as much as digits as its factorization.

107585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21522.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 107585 is about 328.0015243867. The cubic root of 107585 is about 47.5609559073.

The spelling of 107585 in words is "one hundred seven thousand, five hundred eighty-five".