13435965 has 24 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 7106400.

The previous prime is 13435963. The next prime is 13435997. The reversal of 13435965 is 56953431.

13435965 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13435965 - 2¹ = 13435963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4540 + ... + 6890.

It is an arithmetic number, because the mean of its divisors is an integer number (978432).

Almost surely, 2^13435965 is an apocalyptic number.

13435965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13435965 is a deficient number, since it is larger than the sum of its proper divisors (10046403).

13435965 is a wasteful number, since it uses less digits than its factorization.

13435965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2486 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13435965 is about 3665.5101964120. The cubic root of 13435965 is about 237.7330823510.

It can be divided in two parts, 13435 and 965, that added together give a square (14400 = 120²).

The spelling of 13435965 in words is "thirteen million, four hundred thirty-five thousand, nine hundred sixty-five".