920008961 has 2 divisors, whose sum is σ = 920008962. Its totient is φ = 920008960.

The previous prime is 920008949. The next prime is 920008987. The reversal of 920008961 is 169800029.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 845704561 + 74304400 = 29081^2 + 8620^2 .

It is a cyclic number.

It is not a de Polignac number, because 920008961 - 2⁶ = 920008897 is a prime.

It is not a weakly prime, because it can be changed into another prime (920001961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 460004480 + 460004481.

It is an arithmetic number, because the mean of its divisors is an integer number (460004481).

Almost surely, 2^920008961 is an apocalyptic number.

It is an amenable number.

920008961 is a deficient number, since it is larger than the sum of its proper divisors (1).

920008961 is an equidigital number, since it uses as much as digits as its factorization.

920008961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 920008961 is about 30331.6494935571. The cubic root of 920008961 is about 972.5919839508.

The spelling of 920008961 in words is "nine hundred twenty million, eight thousand, nine hundred sixty-one".