827021 has 4 divisors (see below), whose sum is σ = 890652. Its totient is φ = 763392.

The previous prime is 827009. The next prime is 827023. The reversal of 827021 is 120728.

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

It can be written as a sum of positive squares in 2 ways, for example, as 280900 + 546121 = 530^2 + 739^2 .

It is a cyclic number.

It is not a de Polignac number, because 827021 - 2⁶ = 826957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 826984 and 827002.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827021.

It is not an unprimeable number, because it can be changed into a prime (827023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31796 + ... + 31821.

It is an arithmetic number, because the mean of its divisors is an integer number (222663).

2⁸²⁷⁰²¹ is an apocalyptic number.

It is an amenable number.

827021 is a deficient number, since it is larger than the sum of its proper divisors (63631).

827021 is a wasteful number, since it uses less digits than its factorization.

827021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63630.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 827021 is about 909.4069496106. The cubic root of 827021 is about 93.8653950893.

Adding to 827021 its reverse (120728), we get a palindrome (947749).

The spelling of 827021 in words is "eight hundred twenty-seven thousand, twenty-one".