13538835 has 48 divisors (see below), whose sum is σ = 24920064. Its totient is φ = 6785856.

The previous prime is 13538827. The next prime is 13538839. The reversal of 13538835 is 53883531.

13538835 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13538835 - 2³ = 13538827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13538835.

It is not an unprimeable number, because it can be changed into a prime (13538839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106542 + ... + 106668.

It is an arithmetic number, because the mean of its divisors is an integer number (519168).

Almost surely, 2^13538835 is an apocalyptic number.

13538835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13538835 is a deficient number, since it is larger than the sum of its proper divisors (11381229).

13538835 is a wasteful number, since it uses less digits than its factorization.

13538835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 13538835 is about 3679.5155931182. The cubic root of 13538835 is about 238.3382603944.

The spelling of 13538835 in words is "thirteen million, five hundred thirty-eight thousand, eight hundred thirty-five".