248792189 has 12 divisors (see below), whose sum is σ = 260253780. Its totient is φ = 237834800.

The previous prime is 248792183. The next prime is 248792209. The reversal of 248792189 is 981297842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 12924025 + 235868164 = 3595^2 + 15358^2 .

It is not a de Polignac number, because 248792189 - 2¹² = 248788093 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 (248792183) 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, 2463239 + ... + 2463339.

It is an arithmetic number, because the mean of its divisors is an integer number (21687815).

Almost surely, 2^248792189 is an apocalyptic number.

248792189 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

248792189 is a deficient number, since it is larger than the sum of its proper divisors (11461591).

248792189 is an frugal number, since it uses more digits than its factorization.

248792189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 130 counting only the distinct ones).

The product of its digits is 580608, while the sum is 50.

The square root of 248792189 is about 15773.1477200970. The cubic root of 248792189 is about 628.9443891175.

The spelling of 248792189 in words is "two hundred forty-eight million, seven hundred ninety-two thousand, one hundred eighty-nine".