827121 has 8 divisors (see below), whose sum is σ = 1121760. Its totient is φ = 541952.

The previous prime is 827087. The next prime is 827129. The reversal of 827121 is 121728.

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 827121 - 2¹⁰ = 826097 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 2160 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (140220).

2⁸²⁷¹²¹ is an apocalyptic number.

It is an amenable number.

827121 is a deficient number, since it is larger than the sum of its proper divisors (294639).

827121 is a wasteful number, since it uses less digits than its factorization.

827121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735.

The product of its digits is 224, while the sum is 21.

The square root of 827121 is about 909.4619288348. The cubic root of 827121 is about 93.8691782102.

Adding to 827121 its reverse (121728), we get a palindrome (948849).

The spelling of 827121 in words is "eight hundred twenty-seven thousand, one hundred twenty-one".