249017 has 2 divisors, whose sum is σ = 249018. Its totient is φ = 249016.

The previous prime is 248987. The next prime is 249037. The reversal of 249017 is 710942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 16 = 499^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 249017 - 2¹⁰ = 247993 is a prime.

It is a Chen prime.

It is equal to p₂₁₉₆₅ and since 249017 and 21965 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 248983 and 249001.

It is not a weakly prime, because it can be changed into another prime (249037) 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, 124508 + 124509.

It is an arithmetic number, because the mean of its divisors is an integer number (124509).

2²⁴⁹⁰¹⁷ is an apocalyptic number.

It is an amenable number.

249017 is a deficient number, since it is larger than the sum of its proper divisors (1).

249017 is an equidigital number, since it uses as much as digits as its factorization.

249017 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 23.

The square root of 249017 is about 499.0160318066. The cubic root of 249017 is about 62.9133772140.

Adding to 249017 its reverse (710942), we get a palindrome (959959).

The spelling of 249017 in words is "two hundred forty-nine thousand, seventeen".