293085 has 32 divisors (see below), whose sum is σ = 564480. Its totient is φ = 143424.

The previous prime is 293081. The next prime is 293087. The reversal of 293085 is 580392.

It is not a de Polignac number, because 293085 - 2² = 293081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293085.

It is not an unprimeable number, because it can be changed into a prime (293081) 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 31 ways as a sum of consecutive naturals, for example, 1672 + ... + 1838.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

293085 is a Friedman number, since it can be written as (8^5-203)*9, using all its digits and the basic arithmetic operations.

2²⁹³⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

293085 is a deficient number, since it is larger than the sum of its proper divisors (271395).

293085 is a wasteful number, since it uses less digits than its factorization.

293085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 293085 is about 541.3732538647. The cubic root of 293085 is about 66.4249440564.

The spelling of 293085 in words is "two hundred ninety-three thousand, eighty-five".