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12405137 is a prime number
BaseRepresentation
bin101111010100…
…100110010001
3212100020122112
4233110212101
511133431022
61121515105
7210304403
oct57244621
925306575
1012405137
117003188
1241a2a95
132754524
14190cb73
1511508e2
hexbd4991

12405137 has 2 divisors, whose sum is σ = 12405138. Its totient is φ = 12405136.

The previous prime is 12405091. The next prime is 12405167. The reversal of 12405137 is 73150421.

12405137 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., 9339136 + 3066001 = 3056^2 + 1751^2 .

It is a cyclic number.

It is not a de Polignac number, because 12405137 - 216 = 12339601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12405167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6202568 + 6202569.

It is an arithmetic number, because the mean of its divisors is an integer number (6202569).

Almost surely, 212405137 is an apocalyptic number.

It is an amenable number.

12405137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12405137 is an equidigital number, since it uses as much as digits as its factorization.

12405137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 12405137 is about 3522.0927017897. The cubic root of 12405137 is about 231.4908635237.

Adding to 12405137 its reverse (73150421), we get a palindrome (85555558).

The spelling of 12405137 in words is "twelve million, four hundred five thousand, one hundred thirty-seven".