102667 has 2 divisors, whose sum is σ = 102668. Its totient is φ = 102666.

The previous prime is 102653. The next prime is 102673. The reversal of 102667 is 766201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102667 - 2⁷ = 102539 is a prime.

It is a super-4 number, since 4×102667⁴ (a number of 21 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (102607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51333 + 51334.

It is an arithmetic number, because the mean of its divisors is an integer number (51334).

2¹⁰²⁶⁶⁷ is an apocalyptic number.

102667 is a deficient number, since it is larger than the sum of its proper divisors (1).

102667 is an equidigital number, since it uses as much as digits as its factorization.

102667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 102667 is about 320.4169159080. The cubic root of 102667 is about 46.8249106431.

Adding to 102667 its reverse (766201), we get a palindrome (868868).

The spelling of 102667 in words is "one hundred two thousand, six hundred sixty-seven".