248961823 has 8 divisors (see below), whose sum is σ = 271717200. Its totient is φ = 226226880.

The previous prime is 248961761. The next prime is 248961841. The reversal of 248961823 is 328169842.

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

It is not a de Polignac number, because 248961823 - 2¹³ = 248953631 is a prime.

It is a super-2 number, since 2×248961823² = 123963978622966658, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 248961823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248961893) 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, 32353 + ... + 39301.

It is an arithmetic number, because the mean of its divisors is an integer number (33964650).

Almost surely, 2^248961823 is an apocalyptic number.

248961823 is a deficient number, since it is larger than the sum of its proper divisors (22755377).

248961823 is a wasteful number, since it uses less digits than its factorization.

248961823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217.

The product of its digits is 165888, while the sum is 43.

The square root of 248961823 is about 15778.5241071527. The cubic root of 248961823 is about 629.0873010445.

The spelling of 248961823 in words is "two hundred forty-eight million, nine hundred sixty-one thousand, eight hundred twenty-three".