248755985 has 16 divisors (see below), whose sum is σ = 318978000. Its totient is φ = 185573376.

The previous prime is 248755967. The next prime is 248755993. The reversal of 248755985 is 589557842.

It is a Cunningham number, because it is equal to 15772²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 913936 + 247842049 = 956^2 + 15743^2 .

It is a cyclic number.

It is not a de Polignac number, because 248755985 - 2⁸ = 248755729 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4160 + ... + 22689.

It is an arithmetic number, because the mean of its divisors is an integer number (19936125).

Almost surely, 2^248755985 is an apocalyptic number.

It is an amenable number.

248755985 is a deficient number, since it is larger than the sum of its proper divisors (70222015).

248755985 is a wasteful number, since it uses less digits than its factorization.

248755985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26980.

The product of its digits is 4032000, while the sum is 53.

The square root of 248755985 is about 15772.0000317017. Note that the first 4 decimals coincide. The cubic root of 248755985 is about 628.9138798434.

The spelling of 248755985 in words is "two hundred forty-eight million, seven hundred fifty-five thousand, nine hundred eighty-five".