966368801 has 2 divisors, whose sum is σ = 966368802. Its totient is φ = 966368800.

The previous prime is 966368783. The next prime is 966368807. The reversal of 966368801 is 108863669.

966368801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 837523600 + 128845201 = 28940^2 + 11351^2 .

It is a cyclic number.

It is not a de Polignac number, because 966368801 - 2¹⁰ = 966367777 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (966368807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483184400 + 483184401.

It is an arithmetic number, because the mean of its divisors is an integer number (483184401).

Almost surely, 2^966368801 is an apocalyptic number.

It is an amenable number.

966368801 is a deficient number, since it is larger than the sum of its proper divisors (1).

966368801 is an equidigital number, since it uses as much as digits as its factorization.

966368801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 966368801 is about 31086.4729585072. The cubic root of 966368801 is about 988.6615252182.

The spelling of 966368801 in words is "nine hundred sixty-six million, three hundred sixty-eight thousand, eight hundred one".