1314064193 has 12 divisors (see below), whose sum is σ = 1422727740. Its totient is φ = 1206501696.

The previous prime is 1314064189. The next prime is 1314064201. The reversal of 1314064193 is 3914604131.

It can be written as a sum of positive squares in 6 ways, for example, as 1129430449 + 184633744 = 33607^2 + 13588^2 .

It is not a de Polignac number, because 1314064193 - 2² = 1314064189 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1314064123) 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 11 ways as a sum of consecutive naturals, for example, 2143355 + ... + 2143967.

It is an arithmetic number, because the mean of its divisors is an integer number (118560645).

Almost surely, 2^1314064193 is an apocalyptic number.

1314064193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1314064193 is a deficient number, since it is larger than the sum of its proper divisors (108663547).

1314064193 is an frugal number, since it uses more digits than its factorization.

1314064193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1314064193 is about 36250.0233517166. The cubic root of 1314064193 is about 1095.3145591700.

The spelling of 1314064193 in words is "one billion, three hundred fourteen million, sixty-four thousand, one hundred ninety-three".