164557585 has 8 divisors (see below), whose sum is σ = 197698536. Its totient is φ = 131493120.

The previous prime is 164557573. The next prime is 164557597. The reversal of 164557585 is 585755461.

It is a Cunningham number, because it is equal to 12828²+1.

It is an interprime number because it is at equal distance from previous prime (164557573) and next prime (164557597).

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 164557584 = 1^2 + 12828^2 .

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

It is not a de Polignac number, because 164557585 - 2⁹ = 164557073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14274 + ... + 23083.

It is an arithmetic number, because the mean of its divisors is an integer number (24712317).

Almost surely, 2^164557585 is an apocalyptic number.

It is an amenable number.

164557585 is a deficient number, since it is larger than the sum of its proper divisors (33140951).

164557585 is an equidigital number, since it uses as much as digits as its factorization.

164557585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38243.

The product of its digits is 840000, while the sum is 46.

The square root of 164557585 is about 12828.0000389772. Note that the first 4 decimals coincide. The cubic root of 164557585 is about 547.9900021708.

The spelling of 164557585 in words is "one hundred sixty-four million, five hundred fifty-seven thousand, five hundred eighty-five".