13500917 has 2 divisors, whose sum is σ = 13500918. Its totient is φ = 13500916.

The previous prime is 13500899. The next prime is 13500919. The reversal of 13500917 is 71900531.

13500917 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., 13256881 + 244036 = 3641^2 + 494^2 .

It is a cyclic number.

It is not a de Polignac number, because 13500917 - 2⁶ = 13500853 is a prime.

Together with 13500919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13500919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750458 + 6750459.

It is an arithmetic number, because the mean of its divisors is an integer number (6750459).

Almost surely, 2^13500917 is an apocalyptic number.

It is an amenable number.

13500917 is a deficient number, since it is larger than the sum of its proper divisors (1).

13500917 is an equidigital number, since it uses as much as digits as its factorization.

13500917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 13500917 is about 3674.3593999499. The cubic root of 13500917 is about 238.1155489575.

It can be divided in two parts, 135009 and 17, that multiplied together give a triangular number (2295153 = T₂₁₄₂).

The spelling of 13500917 in words is "thirteen million, five hundred thousand, nine hundred seventeen".