972007128067 has 2 divisors, whose sum is σ = 972007128068. Its totient is φ = 972007128066.

The previous prime is 972007127893. The next prime is 972007128073. The reversal of 972007128067 is 760821700279.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 972007128067 - 2¹⁵ = 972007095299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972007128067.

It is not a weakly prime, because it can be changed into another prime (972007128167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486003564033 + 486003564034.

It is an arithmetic number, because the mean of its divisors is an integer number (486003564034).

Almost surely, 2^972007128067 is an apocalyptic number.

972007128067 is a deficient number, since it is larger than the sum of its proper divisors (1).

972007128067 is an equidigital number, since it uses as much as digits as its factorization.

972007128067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 592704, while the sum is 49.

The spelling of 972007128067 in words is "nine hundred seventy-two billion, seven million, one hundred twenty-eight thousand, sixty-seven".