827127 has 24 divisors (see below), whose sum is σ = 1439360. Its totient is φ = 447120.

The previous prime is 827087. The next prime is 827129. The reversal of 827127 is 721728.

It is not a de Polignac number, because 827127 - 2⁶ = 827063 is a prime.

It is a Duffinian number.

827127 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 827127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852 + ... + 1542.

2⁸²⁷¹²⁷ is an apocalyptic number.

827127 is a deficient number, since it is larger than the sum of its proper divisors (612233).

827127 is a wasteful number, since it uses less digits than its factorization.

827127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 827127 is about 909.4652274826. The cubic root of 827127 is about 93.8694051877.

The spelling of 827127 in words is "eight hundred twenty-seven thousand, one hundred twenty-seven".