29585 has 8 divisors (see below), whose sum is σ = 36456. Its totient is φ = 23040.

The previous prime is 29581. The next prime is 29587. The reversal of 29585 is 58592.

It is a Cunningham number, because it is equal to 172²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 29584 = 1^2 + 172^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 29585 - 2² = 29581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2²⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

29585 is a deficient number, since it is larger than the sum of its proper divisors (6871).

29585 is an equidigital number, since it uses as much as digits as its factorization.

29585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its digits is 3600, while the sum is 29.

The square root of 29585 is about 172.0029069522. The cubic root of 29585 is about 30.9283813210.

The spelling of 29585 in words is "twenty-nine thousand, five hundred eighty-five".