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13842737 is a prime number

13842737 has 2 divisors, whose sum is σ = 13842738. Its totient is φ = 13842736.

The previous prime is 13842727. The next prime is 13842739. The reversal of 13842737 is 73724831.

13842737 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., 13278736 + 564001 = 3644^2 + 751^2 .

It is a cyclic number.

It is not a de Polignac number, because 13842737 - 212 = 13838641 is a prime.

Together with 13842739, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13842697 and 13842706.

It is not a weakly prime, because it can be changed into another prime (13842739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6921368 + 6921369.

It is an arithmetic number, because the mean of its divisors is an integer number (6921369).

Almost surely, 213842737 is an apocalyptic number.

It is an amenable number.

13842737 is a deficient number, since it is larger than the sum of its proper divisors (1).

13842737 is an equidigital number, since it uses as much as digits as its factorization.

13842737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 28224, while the sum is 35.

The square root of 13842737 is about 3720.5828844416. The cubic root of 13842737 is about 240.1083827605.

It can be divided in two parts, 138 and 42737, that added together give a cube (42875 = 353).

The spelling of 13842737 in words is "thirteen million, eight hundred forty-two thousand, seven hundred thirty-seven".