363967 has 2 divisors, whose sum is σ = 363968. Its totient is φ = 363966.

The previous prime is 363959. The next prime is 363977. The reversal of 363967 is 769363.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 363967 - 2³ = 363959 is a prime.

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363967.

It is not a weakly prime, because it can be changed into another prime (363917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181983 + 181984.

It is an arithmetic number, because the mean of its divisors is an integer number (181984).

2³⁶³⁹⁶⁷ is an apocalyptic number.

363967 is a deficient number, since it is larger than the sum of its proper divisors (1).

363967 is an equidigital number, since it uses as much as digits as its factorization.

363967 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 363967 is about 603.2967760564. The cubic root of 363967 is about 71.3982120505.

The spelling of 363967 in words is "three hundred sixty-three thousand, nine hundred sixty-seven".