393667 has 2 divisors, whose sum is σ = 393668. Its totient is φ = 393666.

The previous prime is 393649. The next prime is 393671. The reversal of 393667 is 766393.

It is a strong prime.

It is an emirp because it is prime and its reverse (766393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393667 - 2⁷ = 393539 is a prime.

It is an Ulam number.

393667 is a lucky number.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (393637) 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, 196833 + 196834.

It is an arithmetic number, because the mean of its divisors is an integer number (196834).

2³⁹³⁶⁶⁷ is an apocalyptic number.

393667 is a deficient number, since it is larger than the sum of its proper divisors (1).

393667 is an equidigital number, since it uses as much as digits as its factorization.

393667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 34.

The square root of 393667 is about 627.4288804319. The cubic root of 393667 is about 73.2897100516.

The spelling of 393667 in words is "three hundred ninety-three thousand, six hundred sixty-seven".