456821 has 2 divisors, whose sum is σ = 456822. Its totient is φ = 456820.

The previous prime is 456811. The next prime is 456871. The reversal of 456821 is 128654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 448900 + 7921 = 670^2 + 89^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456821 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228410 + 228411.

It is an arithmetic number, because the mean of its divisors is an integer number (228411).

2⁴⁵⁶⁸²¹ is an apocalyptic number.

It is an amenable number.

456821 is a deficient number, since it is larger than the sum of its proper divisors (1).

456821 is an equidigital number, since it uses as much as digits as its factorization.

456821 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1920, while the sum is 26.

The square root of 456821 is about 675.8853453064. The cubic root of 456821 is about 77.0161881970.

The spelling of 456821 in words is "four hundred fifty-six thousand, eight hundred twenty-one".