247920313 has 8 divisors (see below), whose sum is σ = 255067400. Its totient is φ = 240796800.

The previous prime is 247920307. The next prime is 247920319. The reversal of 247920313 is 313029742.

It is an interprime number because it is at equal distance from previous prime (247920307) and next prime (247920319).

It can be written as a sum of positive squares in 4 ways, for example, as 104591529 + 143328784 = 10227^2 + 11972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 247920313 - 2⁹ = 247919801 is a prime.

It is a super-2 number, since 2×247920313² = 122928963196035938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247920319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16663 + ... + 27811.

It is an arithmetic number, because the mean of its divisors is an integer number (31883425).

Almost surely, 2^247920313 is an apocalyptic number.

It is an amenable number.

247920313 is a deficient number, since it is larger than the sum of its proper divisors (7147087).

247920313 is a wasteful number, since it uses less digits than its factorization.

247920313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 247920313 is about 15745.4854799717. The cubic root of 247920313 is about 628.2088310115.

The spelling of 247920313 in words is "two hundred forty-seven million, nine hundred twenty thousand, three hundred thirteen".