248919 has 16 divisors (see below), whose sum is σ = 382080. Its totient is φ = 142560.

The previous prime is 248909. The next prime is 248971. The reversal of 248919 is 919842.

It is not a de Polignac number, because 248919 - 2⁴ = 248903 is a prime.

It is a super-2 number, since 2×248919² = 123921337122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 248919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429 + ... + 825.

It is an arithmetic number, because the mean of its divisors is an integer number (23880).

2²⁴⁸⁹¹⁹ is an apocalyptic number.

248919 is a deficient number, since it is larger than the sum of its proper divisors (133161).

248919 is a wasteful number, since it uses less digits than its factorization.

248919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430.

The product of its digits is 5184, while the sum is 33.

The square root of 248919 is about 498.9178289057. The cubic root of 248919 is about 62.9051229985.

The spelling of 248919 in words is "two hundred forty-eight thousand, nine hundred nineteen".