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12807461 is a prime number
BaseRepresentation
bin110000110110…
…110100100101
3220002200112102
4300312310211
511234314321
61134301445
7213601352
oct60666445
926080472
1012807461
117258487
124357885
1328656a4
1419b5629
1511cec0b
hexc36d25

12807461 has 2 divisors, whose sum is σ = 12807462. Its totient is φ = 12807460.

The previous prime is 12807449. The next prime is 12807467. The reversal of 12807461 is 16470821.

12807461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11519236 + 1288225 = 3394^2 + 1135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12807461 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12807467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6403730 + 6403731.

It is an arithmetic number, because the mean of its divisors is an integer number (6403731).

Almost surely, 212807461 is an apocalyptic number.

It is an amenable number.

12807461 is a deficient number, since it is larger than the sum of its proper divisors (1).

12807461 is an equidigital number, since it uses as much as digits as its factorization.

12807461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 12807461 is about 3578.7513185467. The cubic root of 12807461 is about 233.9668604298.

The spelling of 12807461 in words is "twelve million, eight hundred seven thousand, four hundred sixty-one".