248913729 has 15 divisors (see below), whose sum is σ = 372046323. Its totient is φ = 165847824.

The previous prime is 248913701. The next prime is 248913767. The reversal of 248913729 is 927319842.

The square root of 248913729 is 15777.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7049025 + 241864704 = 2655^2 + 15552^2 .

It is not a de Polignac number, because 248913729 - 2⁵ = 248913697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248913029) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 141117 + ... + 142869.

Almost surely, 2^248913729 is an apocalyptic number.

248913729 is the 15777-th square number.

248913729 is the 7889-th centered octagonal number.

It is an amenable number.

248913729 is a deficient number, since it is larger than the sum of its proper divisors (123132594).

248913729 is an frugal number, since it uses more digits than its factorization.

248913729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 1756 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The cubic root of 248913729 is about 629.0467897823.

The spelling of 248913729 in words is "two hundred forty-eight million, nine hundred thirteen thousand, seven hundred twenty-nine".