103827 has 8 divisors (see below), whose sum is σ = 141264. Its totient is φ = 67808.

The previous prime is 103813. The next prime is 103837. The reversal of 103827 is 728301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103827 - 2⁴ = 103811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (17658).

2¹⁰³⁸²⁷ is an apocalyptic number.

103827 is a deficient number, since it is larger than the sum of its proper divisors (37437).

103827 is an equidigital number, since it uses as much as digits as its factorization.

103827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 103827 is about 322.2219731800. The cubic root of 103827 is about 47.0006035836. Note that the first 3 decimals are identical.

The spelling of 103827 in words is "one hundred three thousand, eight hundred twenty-seven".