13035797 has 2 divisors, whose sum is σ = 13035798. Its totient is φ = 13035796.

The previous prime is 13035769. The next prime is 13035809. The reversal of 13035797 is 79753031.

13035797 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., 7695076 + 5340721 = 2774^2 + 2311^2 .

It is a cyclic number.

It is not a de Polignac number, because 13035797 - 2¹⁸ = 12773653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13035707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6517898 + 6517899.

It is an arithmetic number, because the mean of its divisors is an integer number (6517899).

Almost surely, 2^13035797 is an apocalyptic number.

It is an amenable number.

13035797 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035797 is an equidigital number, since it uses as much as digits as its factorization.

13035797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 13035797 is about 3610.5120135515. The cubic root of 13035797 is about 235.3490933563.

The spelling of 13035797 in words is "thirteen million, thirty-five thousand, seven hundred ninety-seven".