248920319 has 8 divisors (see below), whose sum is σ = 254926848. Its totient is φ = 242943480.

The previous prime is 248920313. The next prime is 248920339. The reversal of 248920319 is 913029842.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 248920319 - 2⁴ = 248920303 is a prime.

It is a super-2 number, since 2×248920319² = 123922650422123522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248920313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10034 + ... + 24464.

It is an arithmetic number, because the mean of its divisors is an integer number (31865856).

Almost surely, 2^248920319 is an apocalyptic number.

248920319 is a deficient number, since it is larger than the sum of its proper divisors (6006529).

248920319 is a wasteful number, since it uses less digits than its factorization.

248920319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14845.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 248920319 is about 15777.2088469412. The cubic root of 248920319 is about 629.0523410788.

The spelling of 248920319 in words is "two hundred forty-eight million, nine hundred twenty thousand, three hundred nineteen".