102967 has 2 divisors, whose sum is σ = 102968. Its totient is φ = 102966.

The previous prime is 102953. The next prime is 102983. The reversal of 102967 is 769201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102967 - 2¹⁵ = 70199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51483 + 51484.

It is an arithmetic number, because the mean of its divisors is an integer number (51484).

2¹⁰²⁹⁶⁷ is an apocalyptic number.

102967 is a deficient number, since it is larger than the sum of its proper divisors (1).

102967 is an equidigital number, since it uses as much as digits as its factorization.

102967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 102967 is about 320.8847145004. The cubic root of 102967 is about 46.8704748224.

The spelling of 102967 in words is "one hundred two thousand, nine hundred sixty-seven".