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12583981 is a prime number
BaseRepresentation
bin110000000000…
…010000101101
3212200022222101
4300000100231
511210141411
61125415101
7211650664
oct60002055
925608871
1012583981
117115593
12426a491
1327b7a57
141957ddb
1511888c1
hexc0042d

12583981 has 2 divisors, whose sum is σ = 12583982. Its totient is φ = 12583980.

The previous prime is 12583979. The next prime is 12583997. The reversal of 12583981 is 18938521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12187081 + 396900 = 3491^2 + 630^2 .

It is a cyclic number.

It is not a de Polignac number, because 12583981 - 21 = 12583979 is a prime.

It is a super-2 number, since 2×125839812 = 316713155616722, which contains 22 as substring.

Together with 12583979, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12583981.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12583481) 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, 6291990 + 6291991.

It is an arithmetic number, because the mean of its divisors is an integer number (6291991).

Almost surely, 212583981 is an apocalyptic number.

It is an amenable number.

12583981 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583981 is an equidigital number, since it uses as much as digits as its factorization.

12583981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 37.

The square root of 12583981 is about 3547.3907312277. The cubic root of 12583981 is about 232.5980224131.

The spelling of 12583981 in words is "twelve million, five hundred eighty-three thousand, nine hundred eighty-one".