1007828021 has 2 divisors, whose sum is σ = 1007828022. Its totient is φ = 1007828020.

The previous prime is 1007827993. The next prime is 1007828047. The reversal of 1007828021 is 1208287001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 785400625 + 222427396 = 28025^2 + 14914^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007828021 - 2⁶ = 1007827957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007828071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503914010 + 503914011.

It is an arithmetic number, because the mean of its divisors is an integer number (503914011).

Almost surely, 2^1007828021 is an apocalyptic number.

It is an amenable number.

1007828021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007828021 is an equidigital number, since it uses as much as digits as its factorization.

1007828021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 1007828021 is about 31746.3072025708. The cubic root of 1007828021 is about 1002.6025611329.

The spelling of 1007828021 in words is "one billion, seven million, eight hundred twenty-eight thousand, twenty-one".