1007226821 has 2 divisors, whose sum is σ = 1007226822. Its totient is φ = 1007226820.

The previous prime is 1007226793. The next prime is 1007226889. The reversal of 1007226821 is 1286227001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 862890625 + 144336196 = 29375^2 + 12014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007226821 - 2¹⁸ = 1006964677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007226721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503613410 + 503613411.

It is an arithmetic number, because the mean of its divisors is an integer number (503613411).

Almost surely, 2^1007226821 is an apocalyptic number.

It is an amenable number.

1007226821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007226821 is an equidigital number, since it uses as much as digits as its factorization.

1007226821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1007226821 is about 31736.8369722000. The cubic root of 1007226821 is about 1002.4031605266.

The spelling of 1007226821 in words is "one billion, seven million, two hundred twenty-six thousand, eight hundred twenty-one".