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826216801 is a prime number
BaseRepresentation
bin110001001111110…
…001000101100001
32010120200011101021
4301033301011201
53143002414201
6213552405441
726321504224
oct6117610541
92116604337
10826216801
11394417a03
121b0846881
13102231ba7
147ba315bb
154c804ea1
hex313f1161

826216801 has 2 divisors, whose sum is σ = 826216802. Its totient is φ = 826216800.

The previous prime is 826216799. The next prime is 826216817. The reversal of 826216801 is 108612628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 806503201 + 19713600 = 28399^2 + 4440^2 .

It is a cyclic number.

It is not a de Polignac number, because 826216801 - 21 = 826216799 is a prime.

Together with 826216799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (826216861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413108400 + 413108401.

It is an arithmetic number, because the mean of its divisors is an integer number (413108401).

Almost surely, 2826216801 is an apocalyptic number.

It is an amenable number.

826216801 is a deficient number, since it is larger than the sum of its proper divisors (1).

826216801 is an equidigital number, since it uses as much as digits as its factorization.

826216801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 826216801 is about 28743.9872147202. The cubic root of 826216801 is about 938.3496017575.

The spelling of 826216801 in words is "eight hundred twenty-six million, two hundred sixteen thousand, eight hundred one".