2072585 has 8 divisors (see below), whose sum is σ = 2500800. Its totient is φ = 1648944.

The previous prime is 2072579. The next prime is 2072617. The reversal of 2072585 is 5852702.

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

It is a cyclic number.

It is not a de Polignac number, because 2072585 - 2⁴ = 2072569 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 0 + 7³ + 2¹³ + 5⁷ + 8⁵ + 5⁹ .

It is a Curzon number.

It is a congruent 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, 47 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (312600).

2^2072585 is an apocalyptic number.

It is an amenable number.

2072585 is a deficient number, since it is larger than the sum of its proper divisors (428215).

2072585 is a wasteful number, since it uses less digits than its factorization.

2072585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287.

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 2072585 is about 1439.6475263064. The cubic root of 2072585 is about 127.4982186090.

It can be divided in two parts, 207 and 2585, that multiplied together give a triangular number (535095 = T₁₀₃₄).

The spelling of 2072585 in words is "two million, seventy-two thousand, five hundred eighty-five".