249967 has 2 divisors, whose sum is σ = 249968. Its totient is φ = 249966.

The previous prime is 249947. The next prime is 249971. The reversal of 249967 is 769942.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 249967 - 2¹⁵ = 217199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (249947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124983 + 124984.

It is an arithmetic number, because the mean of its divisors is an integer number (124984).

2²⁴⁹⁹⁶⁷ is an apocalyptic number.

249967 is a deficient number, since it is larger than the sum of its proper divisors (1).

249967 is an equidigital number, since it uses as much as digits as its factorization.

249967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 37.

The square root of 249967 is about 499.9669989109. The cubic root of 249967 is about 62.9932805465.

The spelling of 249967 in words is "two hundred forty-nine thousand, nine hundred sixty-seven".