248337 has 12 divisors (see below), whose sum is σ = 368004. Its totient is φ = 161280.

The previous prime is 248323. The next prime is 248351. The reversal of 248337 is 733842.

It is an interprime number because it is at equal distance from previous prime (248323) and next prime (248351).

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 207936 = 201^2 + 456^2 .

It is not a de Polignac number, because 248337 - 2¹¹ = 246289 is a prime.

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 self number, because there is not a number n which added to its sum of digits gives 248337.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248337.

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 11 ways as a sum of consecutive naturals, for example, 33 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (30667).

2²⁴⁸³³⁷ is an apocalyptic number.

It is an amenable number.

248337 is a deficient number, since it is larger than the sum of its proper divisors (119667).

248337 is a wasteful number, since it uses less digits than its factorization.

248337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

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

The square root of 248337 is about 498.3342251943. The cubic root of 248337 is about 62.8560583737.

It can be divided in two parts, 248 and 337, that added together give a palindrome (585).

The spelling of 248337 in words is "two hundred forty-eight thousand, three hundred thirty-seven".