247968009 has 27 divisors (see below), whose sum is σ = 373013589. Its totient is φ = 158729760.

The previous prime is 247967999. The next prime is 247968011. The reversal of 247968009 is 900869742.

It is a happy number.

The square root of 247968009 is 15747.

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

247968009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92217609 + 155750400 = 9603^2 + 12480^2 .

It is not a de Polignac number, because 247968009 - 2²³ = 239579401 is a prime.

It is a super-2 number, since 2×247968009² = 122976266974848162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247968059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1369899 + ... + 1370079.

Almost surely, 2^247968009 is an apocalyptic number.

247968009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

247968009 is the 15747-th square number.

247968009 is the 7874-th centered octagonal number.

It is an amenable number.

247968009 is a deficient number, since it is larger than the sum of its proper divisors (125045580).

247968009 is an equidigital number, since it uses as much as digits as its factorization.

247968009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

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

The cubic root of 247968009 is about 628.2491142874.

It can be divided in two parts, 247 and 968009, that added together give a square (968256 = 984²).

The spelling of 247968009 in words is "two hundred forty-seven million, nine hundred sixty-eight thousand, nine".