121585 has 4 divisors (see below), whose sum is σ = 145908. Its totient is φ = 97264.

The previous prime is 121579. The next prime is 121591. The reversal of 121585 is 585121.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 585121 = 293 ⋅1997.

It is an interprime number because it is at equal distance from previous prime (121579) and next prime (121591).

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 58081 = 252^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 121585 - 2³ = 121577 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

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, 12154 + ... + 12163.

It is an arithmetic number, because the mean of its divisors is an integer number (36477).

2¹²¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

121585 is a deficient number, since it is larger than the sum of its proper divisors (24323).

121585 is an equidigital number, since it uses as much as digits as its factorization.

121585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24322.

The product of its digits is 400, while the sum is 22.

The square root of 121585 is about 348.6904070949. The cubic root of 121585 is about 49.5404559923.

The spelling of 121585 in words is "one hundred twenty-one thousand, five hundred eighty-five".