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12813973 is a prime number
BaseRepresentation
bin110000111000…
…011010010101
3220010000110121
4300320122111
511240021343
61134351541
7213626344
oct60703225
926100417
1012813973
117262367
12435b5b1
132868643
1419b7b5b
1511d1aed
hexc38695

12813973 has 2 divisors, whose sum is σ = 12813974. Its totient is φ = 12813972.

The previous prime is 12813959. The next prime is 12813979. The reversal of 12813973 is 37931821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12794929 + 19044 = 3577^2 + 138^2 .

It is a cyclic number.

It is not a de Polignac number, because 12813973 - 221 = 10716821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12813979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6406986 + 6406987.

It is an arithmetic number, because the mean of its divisors is an integer number (6406987).

Almost surely, 212813973 is an apocalyptic number.

It is an amenable number.

12813973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12813973 is an equidigital number, since it uses as much as digits as its factorization.

12813973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 34.

The square root of 12813973 is about 3579.6610174708. The cubic root of 12813973 is about 234.0065074772.

The spelling of 12813973 in words is "twelve million, eight hundred thirteen thousand, nine hundred seventy-three".