967720001 has 2 divisors, whose sum is σ = 967720002. Its totient is φ = 967720000.

The previous prime is 967719979. The next prime is 967720037. The reversal of 967720001 is 100027769.

967720001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 965717776 + 2002225 = 31076^2 + 1415^2 .

It is a cyclic number.

It is not a de Polignac number, because 967720001 - 2¹⁰ = 967718977 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 967720001.

It is not a weakly prime, because it can be changed into another prime (967720081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483860000 + 483860001.

It is an arithmetic number, because the mean of its divisors is an integer number (483860001).

Almost surely, 2^967720001 is an apocalyptic number.

It is an amenable number.

967720001 is a deficient number, since it is larger than the sum of its proper divisors (1).

967720001 is an equidigital number, since it uses as much as digits as its factorization.

967720001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 967720001 is about 31108.1982924116. The cubic root of 967720001 is about 989.1221006959.

The spelling of 967720001 in words is "nine hundred sixty-seven million, seven hundred twenty thousand, one".