1288313 has 8 divisors (see below), whose sum is σ = 1401288. Its totient is φ = 1177344.

The previous prime is 1288307. The next prime is 1288337. The reversal of 1288313 is 3138821.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 1283689 = 68^2 + 1133^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1288313 - 2⁶ = 1288249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1288363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (175161).

2^1288313 is an apocalyptic number.

1288313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1288313 is a deficient number, since it is larger than the sum of its proper divisors (112975).

1288313 is a wasteful number, since it uses less digits than its factorization.

1288313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003.

The product of its digits is 1152, while the sum is 26.

The square root of 1288313 is about 1135.0387658578. The cubic root of 1288313 is about 108.8112492424.

The spelling of 1288313 in words is "one million, two hundred eighty-eight thousand, three hundred thirteen".