11793825 has 72 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 5765760.

The previous prime is 11793791. The next prime is 11793827. The reversal of 11793825 is 52839711.

It is not a de Polignac number, because 11793825 - 2¹⁰ = 11792801 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (15120) is a multiple of the sum of its prime factors (135).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11793825.

It is not an unprimeable number, because it can be changed into a prime (11793827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222499 + ... + 222551.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 2^11793825 is an apocalyptic number.

11793825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11793825 is a deficient number, since it is larger than the sum of its proper divisors (11186847).

11793825 is a wasteful number, since it uses less digits than its factorization.

11793825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11793825 is about 3434.2138838459. The cubic root of 11793825 is about 227.6240920236.

The spelling of 11793825 in words is "eleven million, seven hundred ninety-three thousand, eight hundred twenty-five".