2136585 has 32 divisors (see below), whose sum is σ = 3898368. Its totient is φ = 989120.

The previous prime is 2136583. The next prime is 2136587. The reversal of 2136585 is 5856312.

2136585 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (2136583) and next prime (2136587).

It is not a de Polignac number, because 2136585 - 2¹ = 2136583 is a prime.

2136585 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3514 + ... + 4076.

It is an arithmetic number, because the mean of its divisors is an integer number (121824).

2^2136585 is an apocalyptic number.

It is an amenable number.

2136585 is a deficient number, since it is larger than the sum of its proper divisors (1761783).

2136585 is a wasteful number, since it uses less digits than its factorization.

2136585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its digits is 7200, while the sum is 30.

The square root of 2136585 is about 1461.7061948285. The cubic root of 2136585 is about 128.7972899459.

The spelling of 2136585 in words is "two million, one hundred thirty-six thousand, five hundred eighty-five".