1331005 has 8 divisors (see below), whose sum is σ = 1720152. Its totient is φ = 982848.

The previous prime is 1330997. The next prime is 1331023. The reversal of 1331005 is 5001331.

1331005 = T₁₆₉ + T₁₇₀ + ... + T₂₃₃.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 1229881 = 318^2 + 1109^2 .

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 1331005 - 2³ = 1330997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10174 + ... + 10303.

It is an arithmetic number, because the mean of its divisors is an integer number (215019).

2^1331005 is an apocalyptic number.

It is an amenable number.

1331005 is a deficient number, since it is larger than the sum of its proper divisors (389147).

1331005 is a wasteful number, since it uses less digits than its factorization.

1331005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20495.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1331005 is about 1153.6918999456. The cubic root of 1331005 is about 110.0001377409. Note that the first 3 decimals are identical.

Adding to 1331005 its reverse (5001331), we get a palindrome (6332336).

The spelling of 1331005 in words is "one million, three hundred thirty-one thousand, five".