1967712001 has 2 divisors, whose sum is σ = 1967712002. Its totient is φ = 1967712000.

The previous prime is 1967711989. The next prime is 1967712017. The reversal of 1967712001 is 1002177691.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1952314225 + 15397776 = 44185^2 + 3924^2 .

It is a cyclic number.

It is not a de Polignac number, because 1967712001 - 2⁵ = 1967711969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1967712091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983856000 + 983856001.

It is an arithmetic number, because the mean of its divisors is an integer number (983856001).

Almost surely, 2^1967712001 is an apocalyptic number.

It is an amenable number.

1967712001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1967712001 is an equidigital number, since it uses as much as digits as its factorization.

1967712001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 34.

The square root of 1967712001 is about 44358.8999074594. The cubic root of 1967712001 is about 1253.1041784266.

Adding to 1967712001 its reverse (1002177691), we get a palindrome (2969889692).

The spelling of 1967712001 in words is "one billion, nine hundred sixty-seven million, seven hundred twelve thousand, one".