1307382705 has 24 divisors (see below), whose sum is σ = 2399433192. Its totient is φ = 656254464.

The previous prime is 1307382697. The next prime is 1307382737. The reversal of 1307382705 is 5072837031.

It can be written as a sum of positive squares in 4 ways, for example, as 371756961 + 935625744 = 19281^2 + 30588^2 .

It is not a de Polignac number, because 1307382705 - 2³ = 1307382697 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1307382705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853734 + ... + 855263.

It is an arithmetic number, because the mean of its divisors is an integer number (99976383).

Almost surely, 2^1307382705 is an apocalyptic number.

1307382705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307382705 is a deficient number, since it is larger than the sum of its proper divisors (1092050487).

1307382705 is a wasteful number, since it uses less digits than its factorization.

1307382705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709025 (or 1709022 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1307382705 is about 36157.7475100427. The cubic root of 1307382705 is about 1093.4549925245.

The spelling of 1307382705 in words is "one billion, three hundred seven million, three hundred eighty-two thousand, seven hundred five".