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12585037 is a prime number
BaseRepresentation
bin110000000000…
…100001001101
3212200101102111
4300000201031
511210210122
61125424021
7211654033
oct60004115
925611374
1012585037
117116363
12426b011
1327b838a
141958553
151188d77
hexc0084d

12585037 has 2 divisors, whose sum is σ = 12585038. Its totient is φ = 12585036.

The previous prime is 12585017. The next prime is 12585059. The reversal of 12585037 is 73058521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12524521 + 60516 = 3539^2 + 246^2 .

It is an emirp because it is prime and its reverse (73058521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12585037 - 219 = 12060749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12585007) 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 as a sum of consecutive naturals, namely, 6292518 + 6292519.

It is an arithmetic number, because the mean of its divisors is an integer number (6292519).

Almost surely, 212585037 is an apocalyptic number.

It is an amenable number.

12585037 is a deficient number, since it is larger than the sum of its proper divisors (1).

12585037 is an equidigital number, since it uses as much as digits as its factorization.

12585037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 12585037 is about 3547.5395698991. The cubic root of 12585037 is about 232.6045284793.

The spelling of 12585037 in words is "twelve million, five hundred eighty-five thousand, thirty-seven".