248553 has 6 divisors (see below), whose sum is σ = 359034. Its totient is φ = 165696.

The previous prime is 248543. The next prime is 248569. The reversal of 248553 is 355842.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 121104 = 357^2 + 348^2 .

It is not a de Polignac number, because 248553 - 2⁴ = 248537 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 4⁵ + 5³ + 8⁴ + 5⁴ + 3¹¹ .

It is not an unprimeable number, because it can be changed into a prime (248533) 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 5 ways as a sum of consecutive naturals, for example, 13800 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (59839).

2²⁴⁸⁵⁵³ is an apocalyptic number.

It is an amenable number.

248553 is a deficient number, since it is larger than the sum of its proper divisors (110481).

248553 is a wasteful number, since it uses less digits than its factorization.

248553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27623 (or 27620 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 248553 is about 498.5509001095. The cubic root of 248553 is about 62.8742768619.

The spelling of 248553 in words is "two hundred forty-eight thousand, five hundred fifty-three".