248910991 has 32 divisors (see below), whose sum is σ = 316569600. Its totient is φ = 190688256.

The previous prime is 248910979. The next prime is 248911051. The reversal of 248910991 is 199019842.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 248910991 - 2⁹ = 248910479 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248910901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544435 + ... + 544891.

It is an arithmetic number, because the mean of its divisors is an integer number (9892800).

Almost surely, 2^248910991 is an apocalyptic number.

248910991 is a deficient number, since it is larger than the sum of its proper divisors (67658609).

248910991 is a wasteful number, since it uses less digits than its factorization.

248910991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 248910991 is about 15776.9132278783. The cubic root of 248910991 is about 629.0444833119.

The spelling of 248910991 in words is "two hundred forty-eight million, nine hundred ten thousand, nine hundred ninety-one".