248733 has 12 divisors (see below), whose sum is σ = 372060. Its totient is φ = 159936.

The previous prime is 248723. The next prime is 248737. The reversal of 248733 is 337842.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 131769 = 342^2 + 363^2 .

It is not a de Polignac number, because 248733 - 2⁵ = 248701 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 4⁸ + 7⁶ + 8⁵ + 3 + 3² .

It is a junction number, because it is equal to n+sod(n) for n = 248697 and 248706.

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 248733.

It is not an unprimeable number, because it can be changed into a prime (248737) 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, 216 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (31005).

2²⁴⁸⁷³³ is an apocalyptic number.

It is an amenable number.

248733 is a deficient number, since it is larger than the sum of its proper divisors (123327).

248733 is a wasteful number, since it uses less digits than its factorization.

248733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 985 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 248733 is about 498.7313906303. The cubic root of 248733 is about 62.8894508744.

The spelling of 248733 in words is "two hundred forty-eight thousand, seven hundred thirty-three".