1311993 has 6 divisors (see below), whose sum is σ = 1895114. Its totient is φ = 874656.

The previous prime is 1311991. The next prime is 1312001. The reversal of 1311993 is 3991131.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 480249 = 912^2 + 693^2 .

It is not a de Polignac number, because 1311993 - 2¹ = 1311991 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1311991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72880 + ... + 72897.

2^1311993 is an apocalyptic number.

It is an amenable number.

1311993 is a deficient number, since it is larger than the sum of its proper divisors (583121).

1311993 is a wasteful number, since it uses less digits than its factorization.

1311993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145783 (or 145780 counting only the distinct ones).

The product of its digits is 729, while the sum is 27.

The square root of 1311993 is about 1145.4226294255. The cubic root of 1311993 is about 109.4738788009.

It can be divided in two parts, 1311 and 993, that added together give a square (2304 = 48²).

The spelling of 1311993 in words is "one million, three hundred eleven thousand, nine hundred ninety-three".