13813517 has 2 divisors, whose sum is σ = 13813518. Its totient is φ = 13813516.

The previous prime is 13813487. The next prime is 13813561. The reversal of 13813517 is 71531831.

13813517 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., 12033961 + 1779556 = 3469^2 + 1334^2 .

It is a cyclic number.

It is not a de Polignac number, because 13813517 - 2¹² = 13809421 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 13813517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13813567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906758 + 6906759.

It is an arithmetic number, because the mean of its divisors is an integer number (6906759).

Almost surely, 2^13813517 is an apocalyptic number.

It is an amenable number.

13813517 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813517 is an equidigital number, since it uses as much as digits as its factorization.

13813517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2520, while the sum is 29.

The square root of 13813517 is about 3716.6540059575. The cubic root of 13813517 is about 239.9393191497.

It can be divided in two parts, 138 and 13517, that multiplied together give a triangular number (1865346 = T₁₉₃₁).

The spelling of 13813517 in words is "thirteen million, eight hundred thirteen thousand, five hundred seventeen".