248729 has 12 divisors (see below), whose sum is σ = 288036. Its totient is φ = 213408.

The previous prime is 248723. The next prime is 248737. The reversal of 248729 is 927842.

It can be written as a sum of positive squares in 2 ways, for example, as 104329 + 144400 = 323^2 + 380^2 .

It is not a de Polignac number, because 248729 - 2⁸ = 248473 is a prime.

It is a super-2 number, since 2×248729² = 123732230882, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248695 and 248704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4667 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2²⁴⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

248729 is a deficient number, since it is larger than the sum of its proper divisors (39307).

248729 is a wasteful number, since it uses less digits than its factorization.

248729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 248729 is about 498.7273804395. The cubic root of 248729 is about 62.8891137537.

The spelling of 248729 in words is "two hundred forty-eight thousand, seven hundred twenty-nine".