248531985 has 24 divisors (see below), whose sum is σ = 463927464. Its totient is φ = 122353920.

The previous prime is 248531981. The next prime is 248532019. The reversal of 248531985 is 589135842.

248531985 is a `hidden beast` number, since 24 + 8 + 531 + 98 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4422609 + 244109376 = 2103^2 + 15624^2 .

It is not a de Polignac number, because 248531985 - 2² = 248531981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 248531985.

It is not an unprimeable number, because it can be changed into a prime (248531981) 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 23 ways as a sum of consecutive naturals, for example, 211836 + ... + 213005.

It is an arithmetic number, because the mean of its divisors is an integer number (19330311).

Almost surely, 2^248531985 is an apocalyptic number.

It is an amenable number.

248531985 is a deficient number, since it is larger than the sum of its proper divisors (215395479).

248531985 is a wasteful number, since it uses less digits than its factorization.

248531985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424865 (or 424862 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 248531985 is about 15764.8972403882. The cubic root of 248531985 is about 628.7250481846.

The spelling of 248531985 in words is "two hundred forty-eight million, five hundred thirty-one thousand, nine hundred eighty-five".