103967 has 2 divisors, whose sum is σ = 103968. Its totient is φ = 103966.

The previous prime is 103963. The next prime is 103969. The reversal of 103967 is 769301.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 103967 - 2² = 103963 is a prime.

Together with 103969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103963) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51983 + 51984.

It is an arithmetic number, because the mean of its divisors is an integer number (51984).

2¹⁰³⁹⁶⁷ is an apocalyptic number.

103967 is a deficient number, since it is larger than the sum of its proper divisors (1).

103967 is an equidigital number, since it uses as much as digits as its factorization.

103967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 103967 is about 322.4391415446. The cubic root of 103967 is about 47.0217192510.

The spelling of 103967 in words is "one hundred three thousand, nine hundred sixty-seven".