248319 has 16 divisors (see below), whose sum is σ = 390240. Its totient is φ = 155520.

The previous prime is 248317. The next prime is 248323. The reversal of 248319 is 913842.

It is not a de Polignac number, because 248319 - 2¹ = 248317 is a prime.

It is a super-2 number, since 2×248319² = 123324651522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

248319 is a lucky number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 248292 and 248301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (24390).

2²⁴⁸³¹⁹ is an apocalyptic number.

248319 is a deficient number, since it is larger than the sum of its proper divisors (141921).

248319 is a wasteful number, since it uses less digits than its factorization.

248319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 248319 is about 498.3161646987. The cubic root of 248319 is about 62.8545396895.

Adding to 248319 its product of digits (1728), we get a cube (250047 = 63³).

The spelling of 248319 in words is "two hundred forty-eight thousand, three hundred nineteen".