165667 has 2 divisors, whose sum is σ = 165668. Its totient is φ = 165666.

The previous prime is 165653. The next prime is 165673. The reversal of 165667 is 766561.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165667 is a prime.

It is not a weakly prime, because it can be changed into another prime (165617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82833 + 82834.

It is an arithmetic number, because the mean of its divisors is an integer number (82834).

2¹⁶⁵⁶⁶⁷ is an apocalyptic number.

165667 is a deficient number, since it is larger than the sum of its proper divisors (1).

165667 is an equidigital number, since it uses as much as digits as its factorization.

165667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 31.

The square root of 165667 is about 407.0221124214. The cubic root of 165667 is about 54.9218725436.

The spelling of 165667 in words is "one hundred sixty-five thousand, six hundred sixty-seven".