11824 has 10 divisors (see below), whose sum is σ = 22940. Its totient is φ = 5904.

The previous prime is 11821. The next prime is 11827. The reversal of 11824 is 42811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11821) and next prime (11827).

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 739 = 11824 / (1 + 1 + 8 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 11798 and 11807.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 354 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (2294).

2^{11824} is an apocalyptic number.

It is an amenable number.

11824 is a deficient number, since it is larger than the sum of its proper divisors (11116).

11824 is an equidigital number, since it uses as much as digits as its factorization.

11824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 11824 is about 108.7382177525. The cubic root of 11824 is about 22.7818055318.

The spelling of 11824 in words is "eleven thousand, eight hundred twenty-four".

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