248538 has 16 divisors (see below), whose sum is σ = 518976. Its totient is φ = 79200.

The previous prime is 248537. The next prime is 248543. The reversal of 248538 is 835842.

It is a super-2 number, since 2×248538² = 123542274888, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 4 + 5⁷ + 8 + 3⁸ + 8⁵ .

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 7 ways as a sum of consecutive naturals, for example, 763 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (32436).

2²⁴⁸⁵³⁸ is an apocalyptic number.

248538 is an abundant number, since it is smaller than the sum of its proper divisors (270438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248538 is a wasteful number, since it uses less digits than its factorization.

248538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829.

The product of its digits is 7680, while the sum is 30.

The square root of 248538 is about 498.5358562832. The cubic root of 248538 is about 62.8730120303.

The spelling of 248538 in words is "two hundred forty-eight thousand, five hundred thirty-eight".