248917905 has 12 divisors (see below), whose sum is σ = 431457780. Its totient is φ = 132756192.

The previous prime is 248917901. The next prime is 248917909. The reversal of 248917905 is 509719842.

It is an interprime number because it is at equal distance from previous prime (248917901) and next prime (248917909).

It can be written as a sum of positive squares in 2 ways, for example, as 141919569 + 106998336 = 11913^2 + 10344^2 .

It is not a de Polignac number, because 248917905 - 2² = 248917901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5531509 = 248917905 / (2 + 4 + 8 + 9 + 1 + 7 + 9 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (248917901) 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, 2765710 + ... + 2765799.

It is an arithmetic number, because the mean of its divisors is an integer number (35954815).

Almost surely, 2^248917905 is an apocalyptic number.

It is an amenable number.

248917905 is a deficient number, since it is larger than the sum of its proper divisors (182539875).

248917905 is a wasteful number, since it uses less digits than its factorization.

248917905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531520 (or 5531517 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 248917905 is about 15777.1323439971. The cubic root of 248917905 is about 629.0503075803.

The spelling of 248917905 in words is "two hundred forty-eight million, nine hundred seventeen thousand, nine hundred five".