247319505 has 12 divisors (see below), whose sum is σ = 428687220. Its totient is φ = 131903712.

The previous prime is 247319497. The next prime is 247319509. The reversal of 247319505 is 505913742.

It can be written as a sum of positive squares in 2 ways, for example, as 188705169 + 58614336 = 13737^2 + 7656^2 .

It is not a de Polignac number, because 247319505 - 2³ = 247319497 is a prime.

It is a super-3 number, since 3×247319505³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 247319505.

It is not an unprimeable number, because it can be changed into a prime (247319509) 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, 2747950 + ... + 2748039.

It is an arithmetic number, because the mean of its divisors is an integer number (35723935).

Almost surely, 2^247319505 is an apocalyptic number.

It is an amenable number.

247319505 is a deficient number, since it is larger than the sum of its proper divisors (181367715).

247319505 is a wasteful number, since it uses less digits than its factorization.

247319505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496000 (or 5495997 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 247319505 is about 15726.3951686329. The cubic root of 247319505 is about 627.7009551983.

The spelling of 247319505 in words is "two hundred forty-seven million, three hundred nineteen thousand, five hundred five".