2151585 has 24 divisors (see below), whose sum is σ = 3767400. Its totient is φ = 1135872.

The previous prime is 2151563. The next prime is 2151593. The reversal of 2151585 is 5851512.

It can be written as a sum of positive squares in 4 ways, for example, as 471969 + 1679616 = 687^2 + 1296^2 .

It is not a de Polignac number, because 2151585 - 2⁶ = 2151521 is a prime.

It is a Curzon number.

2151585 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5991 + ... + 6339.

It is an arithmetic number, because the mean of its divisors is an integer number (156975).

2^2151585 is an apocalyptic number.

It is an amenable number.

2151585 is a deficient number, since it is larger than the sum of its proper divisors (1615815).

2151585 is a wasteful number, since it uses less digits than its factorization.

2151585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 494 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 2151585 is about 1466.8282108004. The cubic root of 2151585 is about 129.0979965661.

The spelling of 2151585 in words is "two million, one hundred fifty-one thousand, five hundred eighty-five".