11205873 has 24 divisors (see below), whose sum is σ = 19588608. Its totient is φ = 6026112.

The previous prime is 11205869. The next prime is 11205959. The reversal of 11205873 is 37850211.

It is not a de Polignac number, because 11205873 - 2² = 11205869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11205823) 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, 4161 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (816192).

Almost surely, 2^11205873 is an apocalyptic number.

It is an amenable number.

11205873 is a deficient number, since it is larger than the sum of its proper divisors (8382735).

11205873 is a wasteful number, since it uses less digits than its factorization.

11205873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11205873 is about 3347.5174383414. The cubic root of 11205873 is about 223.7768890835.

The spelling of 11205873 in words is "eleven million, two hundred five thousand, eight hundred seventy-three".