1331361 has 12 divisors (see below), whose sum is σ = 1989780. Its totient is φ = 856800.

The previous prime is 1331347. The next prime is 1331377. The reversal of 1331361 is 1631331.

It can be written as a sum of positive squares in 2 ways, for example, as 216225 + 1115136 = 465^2 + 1056^2 .

It is not a de Polignac number, because 1331361 - 2⁵ = 1331329 is a prime.

It is a super-2 number, since 2×1331361² = 3545044224642, which contains 22 as substring.

1331361 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2290 + ... + 2811.

It is an arithmetic number, because the mean of its divisors is an integer number (165815).

2^1331361 is an apocalyptic number.

It is an amenable number.

1331361 is a deficient number, since it is larger than the sum of its proper divisors (658419).

1331361 is a wasteful number, since it uses less digits than its factorization.

1331361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5133 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 1331361 is about 1153.8461769231. The cubic root of 1331361 is about 110.0099440046.

Adding to 1331361 its reverse (1631331), we get a palindrome (2962692).

The spelling of 1331361 in words is "one million, three hundred thirty-one thousand, three hundred sixty-one".