12900585 has 32 divisors (see below), whose sum is σ = 21927168. Its totient is φ = 6462720.

The previous prime is 12900581. The next prime is 12900593. The reversal of 12900585 is 58500921.

12900585 = T₄₁₅ + T₄₁₆ + ... + T₅₂₉.

12900585 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12900585 - 2² = 12900581 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (12900581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20739 + ... + 21351.

It is an arithmetic number, because the mean of its divisors is an integer number (685224).

Almost surely, 2^12900585 is an apocalyptic number.

12900585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12900585 is a deficient number, since it is larger than the sum of its proper divisors (9026583).

12900585 is a wasteful number, since it uses less digits than its factorization.

12900585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 12900585 is about 3591.7384370246. The cubic root of 12900585 is about 234.5325550401.

The spelling of 12900585 in words is "twelve million, nine hundred thousand, five hundred eighty-five".