11546825 has 24 divisors (see below), whose sum is σ = 15367320. Its totient is φ = 8576000.

The previous prime is 11546803. The next prime is 11546827. The reversal of 11546825 is 52864511.

It can be written as a sum of positive squares in 12 ways, for example, as 1408969 + 10137856 = 1187^2 + 3184^2 .

It is not a de Polignac number, because 11546825 - 2⁸ = 11546569 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11546791 and 11546800.

It is not an unprimeable number, because it can be changed into a prime (11546827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42791 + ... + 43059.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 2^11546825 is an apocalyptic number.

It is an amenable number.

11546825 is a deficient number, since it is larger than the sum of its proper divisors (3820495).

11546825 is a wasteful number, since it uses less digits than its factorization.

11546825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 392 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 11546825 is about 3398.0619476402. The cubic root of 11546825 is about 226.0238116765.

The spelling of 11546825 in words is "eleven million, five hundred forty-six thousand, eight hundred twenty-five".