83827 has 4 divisors (see below), whose sum is σ = 88776. Its totient is φ = 78880.

The previous prime is 83813. The next prime is 83833. The reversal of 83827 is 72838.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 83827 - 2¹⁵ = 51059 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83795 and 83804.

It is not an unprimeable number, because it can be changed into a prime (83857) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2449 + ... + 2482.

It is an arithmetic number, because the mean of its divisors is an integer number (22194).

2⁸³⁸²⁷ is an apocalyptic number.

83827 is a deficient number, since it is larger than the sum of its proper divisors (4949).

83827 is a wasteful number, since it uses less digits than its factorization.

83827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948.

The product of its digits is 2688, while the sum is 28.

The square root of 83827 is about 289.5289277430. The cubic root of 83827 is about 43.7651049884.

The spelling of 83827 in words is "eighty-three thousand, eight hundred twenty-seven".