249958217 has 2 divisors, whose sum is σ = 249958218. Its totient is φ = 249958216.

The previous prime is 249958171. The next prime is 249958231. The reversal of 249958217 is 712859942.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154231561 + 95726656 = 12419^2 + 9784^2 .

It is a cyclic number.

It is not a de Polignac number, because 249958217 - 2⁶ = 249958153 is a prime.

It is a super-2 number, since 2×249958217² = 124958220491638178, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (249958277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124979108 + 124979109.

It is an arithmetic number, because the mean of its divisors is an integer number (124979109).

Almost surely, 2^249958217 is an apocalyptic number.

It is an amenable number.

249958217 is a deficient number, since it is larger than the sum of its proper divisors (1).

249958217 is an equidigital number, since it uses as much as digits as its factorization.

249958217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 47.

The square root of 249958217 is about 15810.0669511549. The cubic root of 249958217 is about 629.9254274712.

The spelling of 249958217 in words is "two hundred forty-nine million, nine hundred fifty-eight thousand, two hundred seventeen".