11820825 has 36 divisors (see below), whose sum is σ = 21413808. Its totient is φ = 6232800.

The previous prime is 11820803. The next prime is 11820839. The reversal of 11820825 is 52802811.

It is not a de Polignac number, because 11820825 - 2¹⁷ = 11689753 is a prime.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 23830 + ... + 24320.

It is an arithmetic number, because the mean of its divisors is an integer number (594828).

Almost surely, 2^11820825 is an apocalyptic number.

11820825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11820825 is a deficient number, since it is larger than the sum of its proper divisors (9592983).

11820825 is a wasteful number, since it uses less digits than its factorization.

11820825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11820825 is about 3438.1426671969. The cubic root of 11820825 is about 227.7976621326.

It can be divided in two parts, 11 and 820825, that added together give a square (820836 = 906²).

The spelling of 11820825 in words is "eleven million, eight hundred twenty thousand, eight hundred twenty-five".