248013 has 12 divisors (see below), whose sum is σ = 379548. Its totient is φ = 155520.

The previous prime is 247999. The next prime is 248021. The reversal of 248013 is 310842.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 56169 = 438^2 + 237^2 .

It is not a de Polignac number, because 248013 - 2⁴ = 247997 is a prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248013.

It is not an unprimeable number, because it can be changed into a prime (248033) 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, 658 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (31629).

2²⁴⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

248013 is a deficient number, since it is larger than the sum of its proper divisors (131535).

248013 is a wasteful number, since it uses less digits than its factorization.

248013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 248013 is about 498.0090360626. The cubic root of 248013 is about 62.8287108230.

Adding to 248013 its reverse (310842), we get a palindrome (558855).

The spelling of 248013 in words is "two hundred forty-eight thousand, thirteen".