248972121 has 12 divisors (see below), whose sum is σ = 364553748. Its totient is φ = 163707264.

The previous prime is 248972093. The next prime is 248972147. The reversal of 248972121 is 121279842.

It can be written as a sum of positive squares in 2 ways, for example, as 100400400 + 148571721 = 10020^2 + 12189^2 .

It is not a de Polignac number, because 248972121 - 2⁶ = 248972057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248972621) 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, 188820 + ... + 190133.

It is an arithmetic number, because the mean of its divisors is an integer number (30379479).

Almost surely, 2^248972121 is an apocalyptic number.

It is an amenable number.

248972121 is a deficient number, since it is larger than the sum of its proper divisors (115581627).

248972121 is a wasteful number, since it uses less digits than its factorization.

248972121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379032 (or 379029 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 248972121 is about 15778.8504334124. The cubic root of 248972121 is about 629.0959747327.

The spelling of 248972121 in words is "two hundred forty-eight million, nine hundred seventy-two thousand, one hundred twenty-one".