360821 has 2 divisors, whose sum is σ = 360822. Its totient is φ = 360820.

The previous prime is 360817. The next prime is 360823. The reversal of 360821 is 128063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192721 + 168100 = 439^2 + 410^2 .

It is a cyclic number.

It is not a de Polignac number, because 360821 - 2² = 360817 is a prime.

Together with 360823, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₃₀₈₀₉ and since 360821 and 30809 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 360793 and 360802.

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 360821.

It is not a weakly prime, because it can be changed into another prime (360823) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180410 + 180411.

It is an arithmetic number, because the mean of its divisors is an integer number (180411).

2³⁶⁰⁸²¹ is an apocalyptic number.

It is an amenable number.

360821 is a deficient number, since it is larger than the sum of its proper divisors (1).

360821 is an equidigital number, since it uses as much as digits as its factorization.

360821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 360821 is about 600.6837770408. The cubic root of 360821 is about 71.1919029845.

Adding to 360821 its reverse (128063), we get a palindrome (488884).

The spelling of 360821 in words is "three hundred sixty thousand, eight hundred twenty-one".