11137305 has 16 divisors (see below), whose sum is σ = 18434880. Its totient is φ = 5734848.

The previous prime is 11137297. The next prime is 11137331. The reversal of 11137305 is 50373111.

11137305 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 11137305 - 2³ = 11137297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12367 + ... + 13236.

It is an arithmetic number, because the mean of its divisors is an integer number (1152180).

Almost surely, 2^11137305 is an apocalyptic number.

11137305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11137305 is a deficient number, since it is larger than the sum of its proper divisors (7297575).

11137305 is a wasteful number, since it uses less digits than its factorization.

11137305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25640.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 11137305 is about 3337.2601037378. The cubic root of 11137305 is about 223.3195296040.

The spelling of 11137305 in words is "eleven million, one hundred thirty-seven thousand, three hundred five".