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12457409 is a prime number
BaseRepresentation
bin101111100001…
…010111000001
3212102220100112
4233201113001
511142114114
61123001105
7210612656
oct57412701
925386315
1012457409
117039488
124209195
132772263
141923c2d
15116113e
hexbe15c1

12457409 has 2 divisors, whose sum is σ = 12457410. Its totient is φ = 12457408.

The previous prime is 12457391. The next prime is 12457411. The reversal of 12457409 is 90475421.

It is a happy number.

12457409 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., 11971600 + 485809 = 3460^2 + 697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12457409 is a prime.

Together with 12457411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12457429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6228704 + 6228705.

It is an arithmetic number, because the mean of its divisors is an integer number (6228705).

Almost surely, 212457409 is an apocalyptic number.

It is an amenable number.

12457409 is a deficient number, since it is larger than the sum of its proper divisors (1).

12457409 is an equidigital number, since it uses as much as digits as its factorization.

12457409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 12457409 is about 3529.5054894418. The cubic root of 12457409 is about 231.8155551949.

The spelling of 12457409 in words is "twelve million, four hundred fifty-seven thousand, four hundred nine".