67026961 has 2 divisors, whose sum is σ = 67026962. Its totient is φ = 67026960.

The previous prime is 67026919. The next prime is 67026977. The reversal of 67026961 is 16962076.

67026961 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., 40246336 + 26780625 = 6344^2 + 5175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67026961 is a prime.

It is a super-2 number, since 2×67026961² = 8985227001791042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67026961.

It is not a weakly prime, because it can be changed into another prime (67026161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33513480 + 33513481.

It is an arithmetic number, because the mean of its divisors is an integer number (33513481).

Almost surely, 2^67026961 is an apocalyptic number.

It is an amenable number.

67026961 is a deficient number, since it is larger than the sum of its proper divisors (1).

67026961 is an equidigital number, since it uses as much as digits as its factorization.

67026961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 67026961 is about 8186.9995114205. Note that the first 3 decimals coincide. The cubic root of 67026961 is about 406.2092820413.

The spelling of 67026961 in words is "sixty-seven million, twenty-six thousand, nine hundred sixty-one".