113827 has 12 divisors (see below), whose sum is σ = 139536. Its totient is φ = 92400.

The previous prime is 113819. The next prime is 113837. The reversal of 113827 is 728311.

It is not a de Polignac number, because 113827 - 2³ = 113819 is a prime.

It is a Duffinian number.

113827 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 113798 and 113807.

It is not an unprimeable number, because it can be changed into a prime (113837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (11628).

2¹¹³⁸²⁷ is an apocalyptic number.

113827 is a deficient number, since it is larger than the sum of its proper divisors (25709).

113827 is a wasteful number, since it uses less digits than its factorization.

113827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 113827 is about 337.3825721640. The cubic root of 113827 is about 48.4635358468.

The spelling of 113827 in words is "one hundred thirteen thousand, eight hundred twenty-seven".