9993967 has 2 divisors, whose sum is σ = 9993968. Its totient is φ = 9993966.

The previous prime is 9993941. The next prime is 9993989. The reversal of 9993967 is 7693999.

It is a strong prime.

It is an emirp because it is prime and its reverse (7693999) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9993967 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9993917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4996983 + 4996984.

It is an arithmetic number, because the mean of its divisors is an integer number (4996984).

Almost surely, 2^9993967 is an apocalyptic number.

9993967 is a deficient number, since it is larger than the sum of its proper divisors (1).

9993967 is an equidigital number, since it uses as much as digits as its factorization.

9993967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 826686, while the sum is 52.

The square root of 9993967 is about 3161.3236151966. The cubic root of 9993967 is about 215.4001346059.

Subtracting from 9993967 its reverse (7693999), we obtain a cube (2299968 = 132³).

The spelling of 9993967 in words is "nine million, nine hundred ninety-three thousand, nine hundred sixty-seven".