11748825 has 72 divisors (see below), whose sum is σ = 23677056. Its totient is φ = 5520000.

The previous prime is 11748823. The next prime is 11748829. The reversal of 11748825 is 52884711.

It is not a de Polignac number, because 11748825 - 2¹ = 11748823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11748825.

It is not an unprimeable number, because it can be changed into a prime (11748823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116275 + ... + 116375.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 2^11748825 is an apocalyptic number.

11748825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11748825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

11748825 is a wasteful number, since it uses less digits than its factorization.

11748825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 11748825 is about 3427.6559045505. The cubic root of 11748825 is about 227.3342188763.

It can be divided in two parts, 1174 and 8825, that added together give a palindrome (9999).

The spelling of 11748825 in words is "eleven million, seven hundred forty-eight thousand, eight hundred twenty-five".