248517 has 12 divisors (see below), whose sum is σ = 366444. Its totient is φ = 162240.

The previous prime is 248509. The next prime is 248533. The reversal of 248517 is 715842.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 123201 = 354^2 + 351^2 .

It is not a de Polignac number, because 248517 - 2³ = 248509 is a prime.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (30537).

2²⁴⁸⁵¹⁷ is an apocalyptic number.

It is an amenable number.

248517 is a deficient number, since it is larger than the sum of its proper divisors (117927).

248517 is a wasteful number, since it uses less digits than its factorization.

248517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 577 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 248517 is about 498.5147941636. The cubic root of 248517 is about 62.8712411804.

The spelling of 248517 in words is "two hundred forty-eight thousand, five hundred seventeen".