11825 has 12 divisors (see below), whose sum is σ = 16368. Its totient is φ = 8400.

The previous prime is 11821. The next prime is 11827. The reversal of 11825 is 52811.

11825 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11825 - 2² = 11821 is a prime.

11825 is strictly pandigital in base 6.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (11821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (1364).

2¹¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

11825 is a deficient number, since it is larger than the sum of its proper divisors (4543).

11825 is a wasteful number, since it uses less digits than its factorization.

11825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 11825 is about 108.7428158547. The cubic root of 11825 is about 22.7824477613.

Multiplying 11825 by its product of digits (80), we get a triangular number (946000 = T₁₃₇₅).

The spelling of 11825 in words is "eleven thousand, eight hundred twenty-five".