3827 has 4 divisors (see below), whose sum is σ = 3960. Its totient is φ = 3696.

The previous prime is 3823. The next prime is 3833. The reversal of 3827 is 7283.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 3827 - 2^{2} = 3823 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3799 and 3808.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3827.

It is not an unprimeable number, because it can be changed into a prime (3821) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

3827 is a deficient number, since it is larger than the sum of its proper divisors (133).

3827 is an equidigital number, since it uses as much as digits as its factorization.

3827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132.

The product of its digits is 336, while the sum is 20.

The square root of 3827 is about 61.8627513129. The cubic root of 3827 is about 15.6417793080.

The spelling of 3827 in words is "three thousand, eight hundred twenty-seven".

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