248897 has 10 divisors (see below), whose sum is σ = 289890. Its totient is φ = 212960.

The previous prime is 248893. The next prime is 248903. The reversal of 248897 is 798842.

Subtracting 248897 from its reverse (798842), we obtain a palindrome (549945).

It can be written as a sum of positive squares in only one way, i.e., 234256 + 14641 = 484^2 + 121^2 .

It is not a de Polignac number, because 248897 - 2^{2} = 248893 is a prime.

It is a Duffinian number.

Its product of digits (32256) is a multiple of the sum of its prime divisors (28).

It is a self number, because there is not a number *n* which added to its sum of digits gives 248897.

It is not an unprimeable number, because it can be changed into a prime (248891) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14633 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (28989).

248897 is a Friedman number, since it can be written as (9+8)*(7+8/2)^4, using all its digits and the basic arithmetic operations.

2^{248897} is an apocalyptic number.

It is an amenable number.

248897 is a deficient number, since it is larger than the sum of its proper divisors (40993).

248897 is an frugal number, since it uses more digits than its factorization.

248897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 248897 is about 498.8957806997. The cubic root of 248897 is about 62.9032697136.

The spelling of 248897 in words is "two hundred forty-eight thousand, eight hundred ninety-seven".

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