248833 has 4 divisors (see below), whose sum is σ = 267988. Its totient is φ = 229680.

The previous prime is 248827. The next prime is 248839. The reversal of 248833 is 338842.

248833 is nontrivially palindromic in base 12.

It is a Cunningham number, because it is equal to 12⁵+1.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (248827) and next prime (248839).

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 166464 = 287^2 + 408^2 .

It is a cyclic number.

It is not a de Polignac number, because 248833 - 2¹³ = 240641 is a prime.

It is a Duffinian number.

248833 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (248839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9558 + ... + 9583.

It is an arithmetic number, because the mean of its divisors is an integer number (66997).

248833 is a Friedman number, since it can be written as 8/8+(4*3)^(3+2), using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 243 ⋅ 2¹⁰ + 1 and 243 < 2¹⁰.

2²⁴⁸⁸³³ is an apocalyptic number.

It is an amenable number.

248833 is a deficient number, since it is larger than the sum of its proper divisors (19155).

248833 is a wasteful number, since it uses less digits than its factorization.

248833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19154.

The product of its digits is 4608, while the sum is 28.

The square root of 248833 is about 498.8316349230. The cubic root of 248833 is about 62.8978777183.

Subtracting 248833 from its reverse (338842), we obtain a palindrome (90009).

It can be divided in two parts, 248 and 833, that added together give a triangular number (1081 = T₄₆).

The spelling of 248833 in words is "two hundred forty-eight thousand, eight hundred thirty-three".