67000993 has 2 divisors, whose sum is σ = 67000994. Its totient is φ = 67000992.

The previous prime is 67000963. The next prime is 67001017. The reversal of 67000993 is 39900076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56295009 + 10705984 = 7503^2 + 3272^2 .

It is a cyclic number.

It is not a de Polignac number, because 67000993 - 2⁹ = 67000481 is a prime.

It is not a weakly prime, because it can be changed into another prime (67000963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33500496 + 33500497.

It is an arithmetic number, because the mean of its divisors is an integer number (33500497).

Almost surely, 2^67000993 is an apocalyptic number.

It is an amenable number.

67000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

67000993 is an equidigital number, since it uses as much as digits as its factorization.

67000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 67000993 is about 8185.4134287768. The cubic root of 67000993 is about 406.1568165607.

The spelling of 67000993 in words is "sixty-seven million, nine hundred ninety-three", and thus it is an aban number.