11538405 has 48 divisors (see below), whose sum is σ = 21003840. Its totient is φ = 5854464.

The previous prime is 11538403. The next prime is 11538409. The reversal of 11538405 is 50483511.

11538405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11538405 - 2¹ = 11538403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11538403) 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, 129601 + ... + 129689.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 2^11538405 is an apocalyptic number.

11538405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11538405 is a deficient number, since it is larger than the sum of its proper divisors (9465435).

11538405 is a wasteful number, since it uses less digits than its factorization.

11538405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 11538405 is about 3396.8227801874. The cubic root of 11538405 is about 225.9688591024.

The spelling of 11538405 in words is "eleven million, five hundred thirty-eight thousand, four hundred five".