13285757 has 2 divisors, whose sum is σ = 13285758. Its totient is φ = 13285756.

The previous prime is 13285717. The next prime is 13285777. The reversal of 13285757 is 75758231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7458361 + 5827396 = 2731^2 + 2414^2 .

It is a cyclic number.

It is not a de Polignac number, because 13285757 - 2¹² = 13281661 is a prime.

It is a super-2 number, since 2×13285757² = 353022678126098, which contains 22 as substring.

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 13285757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13285717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6642878 + 6642879.

It is an arithmetic number, because the mean of its divisors is an integer number (6642879).

Almost surely, 2^13285757 is an apocalyptic number.

It is an amenable number.

13285757 is a deficient number, since it is larger than the sum of its proper divisors (1).

13285757 is an equidigital number, since it uses as much as digits as its factorization.

13285757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58800, while the sum is 38.

The square root of 13285757 is about 3644.9632371260. The cubic root of 13285757 is about 236.8438442697.

The spelling of 13285757 in words is "thirteen million, two hundred eighty-five thousand, seven hundred fifty-seven".