249917 has 8 divisors (see below), whose sum is σ = 270072. Its totient is φ = 230400.

The previous prime is 249911. The next prime is 249923. The reversal of 249917 is 719942.

It is an interprime number because it is at equal distance from previous prime (249911) and next prime (249923).

It can be written as a sum of positive squares in 4 ways, for example, as 32761 + 217156 = 181^2 + 466^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 249917 - 2⁶ = 249853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (33759).

2²⁴⁹⁹¹⁷ is an apocalyptic number.

It is an amenable number.

249917 is a deficient number, since it is larger than the sum of its proper divisors (20155).

249917 is a wasteful number, since it uses less digits than its factorization.

249917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319.

The product of its digits is 4536, while the sum is 32.

The square root of 249917 is about 499.9169931099. The cubic root of 249917 is about 62.9890801599.

The spelling of 249917 in words is "two hundred forty-nine thousand, nine hundred seventeen".