248972 has 12 divisors (see below), whose sum is σ = 442680. Its totient is φ = 122496.

The previous prime is 248971. The next prime is 248981. The reversal of 248972 is 279842.

248972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (36890).

2²⁴⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

248972 is a deficient number, since it is larger than the sum of its proper divisors (193708).

248972 is a wasteful number, since it uses less digits than its factorization.

248972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 248972 is about 498.9709410377. The cubic root of 248972 is about 62.9095872820.

It can be divided in two parts, 24897 and 2, that multiplied together give a palindrome (49794).

The spelling of 248972 in words is "two hundred forty-eight thousand, nine hundred seventy-two".