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13857841 is a prime number
BaseRepresentation
bin110100110111…
…010000110001
3222002001101101
4310313100301
512021422331
61213004401
7225534604
oct64672061
928061341
1013857841
117905668
124783701
132b4280a
141baa33b
15133b061
hexd37431

13857841 has 2 divisors, whose sum is σ = 13857842. Its totient is φ = 13857840.

The previous prime is 13857829. The next prime is 13857871. The reversal of 13857841 is 14875831.

13857841 = T3038 + T3039 + T3040.

13857841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9634816 + 4223025 = 3104^2 + 2055^2 .

It is an emirp because it is prime and its reverse (14875831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13857841 - 219 = 13333553 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13857841.

It is not a weakly prime, because it can be changed into another prime (13857871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6928920 + 6928921.

It is an arithmetic number, because the mean of its divisors is an integer number (6928921).

Almost surely, 213857841 is an apocalyptic number.

13857841 is the 3040-th centered triangular number.

It is an amenable number.

13857841 is a deficient number, since it is larger than the sum of its proper divisors (1).

13857841 is an equidigital number, since it uses as much as digits as its factorization.

13857841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26880, while the sum is 37.

The square root of 13857841 is about 3722.6121205412. The cubic root of 13857841 is about 240.1956795333.

Subtracting from 13857841 its product of digits (26880), we obtain a square (13830961 = 37192).

The spelling of 13857841 in words is "thirteen million, eight hundred fifty-seven thousand, eight hundred forty-one".