1314408017 has 16 divisors (see below), whose sum is σ = 1460244240. Its totient is φ = 1175254272.

The previous prime is 1314407999. The next prime is 1314408037. The reversal of 1314408017 is 7108044131.

It can be written as a sum of positive squares in 8 ways, for example, as 282777856 + 1031630161 = 16816^2 + 32119^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314408017 - 2⁶ = 1314407953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1314408037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104183 + ... + 116115.

It is an arithmetic number, because the mean of its divisors is an integer number (91265265).

Almost surely, 2^1314408017 is an apocalyptic number.

It is an amenable number.

1314408017 is a deficient number, since it is larger than the sum of its proper divisors (145836223).

1314408017 is a wasteful number, since it uses less digits than its factorization.

1314408017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1314408017 is about 36254.7654384910. The cubic root of 1314408017 is about 1095.4100802753.

The spelling of 1314408017 in words is "one billion, three hundred fourteen million, four hundred eight thousand, seventeen".