11853825 has 24 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 6216000.

The previous prime is 11853817. The next prime is 11853839. The reversal of 11853825 is 52835811.

It is a happy number.

11853825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11853825 - 2³ = 11853817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3280 + ... + 5870.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

It is a Proth number, since it is equal to 1447 ⋅ 2¹³ + 1 and 1447 < 2¹³.

Almost surely, 2^11853825 is an apocalyptic number.

11853825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11853825 is a deficient number, since it is larger than the sum of its proper divisors (8073471).

11853825 is a wasteful number, since it uses less digits than its factorization.

11853825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2660 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 11853825 is about 3442.9384252409. The cubic root of 11853825 is about 228.0094448227.

The spelling of 11853825 in words is "eleven million, eight hundred fifty-three thousand, eight hundred twenty-five".