13817057 has 2 divisors, whose sum is σ = 13817058. Its totient is φ = 13817056.

The previous prime is 13817053. The next prime is 13817059. The reversal of 13817057 is 75071831.

13817057 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., 10297681 + 3519376 = 3209^2 + 1876^2 .

It is a cyclic number.

It is not a de Polignac number, because 13817057 - 2² = 13817053 is a prime.

It is a super-2 number, since 2×13817057² = 381822128282498, which contains 22 as substring.

Together with 13817059, 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 (13817053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6908528 + 6908529.

It is an arithmetic number, because the mean of its divisors is an integer number (6908529).

Almost surely, 2^13817057 is an apocalyptic number.

It is an amenable number.

13817057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13817057 is an equidigital number, since it uses as much as digits as its factorization.

13817057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 13817057 is about 3717.1302102563. The cubic root of 13817057 is about 239.9598138734.

Adding to 13817057 its reverse (75071831), we get a palindrome (88888888).

The spelling of 13817057 in words is "thirteen million, eight hundred seventeen thousand, fifty-seven".