13135985 has 24 divisors (see below), whose sum is σ = 17505720. Its totient is φ = 9418752.

The previous prime is 13135981. The next prime is 13136003. The reversal of 13135985 is 58953131.

It can be written as a sum of positive squares in 12 ways, for example, as 717409 + 12418576 = 847^2 + 3524^2 .

It is not a de Polignac number, because 13135985 - 2² = 13135981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179909 + ... + 179981.

It is an arithmetic number, because the mean of its divisors is an integer number (729405).

Almost surely, 2^13135985 is an apocalyptic number.

It is an amenable number.

13135985 is a deficient number, since it is larger than the sum of its proper divisors (4369735).

13135985 is an equidigital number, since it uses as much as digits as its factorization.

13135985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 124 counting only the distinct ones).

The product of its digits is 16200, while the sum is 35.

The square root of 13135985 is about 3624.3599434935. The cubic root of 13135985 is about 235.9504887518.

The spelling of 13135985 in words is "thirteen million, one hundred thirty-five thousand, nine hundred eighty-five".