67077000961 has 2 divisors, whose sum is σ = 67077000962. Its totient is φ = 67077000960.

The previous prime is 67077000943. The next prime is 67077000967. The reversal of 67077000961 is 16900077076.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63212016400 + 3864984561 = 251420^2 + 62169^2 .

It is a cyclic number.

It is not a de Polignac number, because 67077000961 - 2¹⁷ = 67076869889 is a prime.

It is not a weakly prime, because it can be changed into another prime (67077000967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33538500480 + 33538500481.

It is an arithmetic number, because the mean of its divisors is an integer number (33538500481).

Almost surely, 2^67077000961 is an apocalyptic number.

It is an amenable number.

67077000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

67077000961 is an equidigital number, since it uses as much as digits as its factorization.

67077000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 43.

The spelling of 67077000961 in words is "sixty-seven billion, seventy-seven million, nine hundred sixty-one", and thus it is an aban number.