2129585 has 8 divisors (see below), whose sum is σ = 2581416. Its totient is φ = 1686400.

The previous prime is 2129579. The next prime is 2129587. The reversal of 2129585 is 5859212.

2129585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 954529 = 1084^2 + 977^2 .

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

It is not a de Polignac number, because 2129585 - 2⁶ = 2129521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2129587) 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 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (322677).

2^2129585 is an apocalyptic number.

It is an amenable number.

2129585 is a deficient number, since it is larger than the sum of its proper divisors (451831).

2129585 is a wasteful number, since it uses less digits than its factorization.

2129585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323.

The product of its digits is 7200, while the sum is 32.

The square root of 2129585 is about 1459.3097683494. The cubic root of 2129585 is about 128.6564784127.

The spelling of 2129585 in words is "two million, one hundred twenty-nine thousand, five hundred eighty-five".