249617 has 6 divisors (see below), whose sum is σ = 257298. Its totient is φ = 242144.

The previous prime is 249607. The next prime is 249647. The reversal of 249617 is 716942.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 108241 = 376^2 + 329^2 .

It is not a de Polignac number, because 249617 - 2¹⁰ = 248593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249617.

It is not an unprimeable number, because it can be changed into a prime (249607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2153 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (42883).

2²⁴⁹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

249617 is a deficient number, since it is larger than the sum of its proper divisors (7681).

249617 is an equidigital number, since it uses as much as digits as its factorization.

249617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 160 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 249617 is about 499.6168531985. The cubic root of 249617 is about 62.9638660685.

The spelling of 249617 in words is "two hundred forty-nine thousand, six hundred seventeen".