82826400462821 has 2 divisors, whose sum is σ = 82826400462822. Its totient is φ = 82826400462820.

The previous prime is 82826400462811. The next prime is 82826400462823. The reversal of 82826400462821 is 12826400462828.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61401407169025 + 21424993293796 = 7835905^2 + 4628714^2 .

It is a cyclic number.

It is not a de Polignac number, because 82826400462821 - 2⁴⁶ = 12457656285157 is a prime.

It is a super-2 number, since 2×82826400462821² (a number of 29 digits) contains 22 as substring.

Together with 82826400462823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82826400462823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41413200231410 + 41413200231411.

It is an arithmetic number, because the mean of its divisors is an integer number (41413200231411).

Almost surely, 2^{82826400462821} is an apocalyptic number.

It is an amenable number.

82826400462821 is a deficient number, since it is larger than the sum of its proper divisors (1).

82826400462821 is an equidigital number, since it uses as much as digits as its factorization.

82826400462821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4718592, while the sum is 53.

The spelling of 82826400462821 in words is "eighty-two trillion, eight hundred twenty-six billion, four hundred million, four hundred sixty-two thousand, eight hundred twenty-one".