1005349 has 2 divisors, whose sum is σ = 1005350. Its totient is φ = 1005348.

The previous prime is 1005331. The next prime is 1005359. The reversal of 1005349 is 9435001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 540225 + 465124 = 735^2 + 682^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005349 - 2⁵ = 1005317 is a prime.

It is a super-2 number, since 2×1005349² = 2021453223602, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502674 + 502675.

It is an arithmetic number, because the mean of its divisors is an integer number (502675).

2^1005349 is an apocalyptic number.

It is an amenable number.

1005349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005349 is an equidigital number, since it uses as much as digits as its factorization.

1005349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1005349 is about 1002.6709330583. The cubic root of 1005349 is about 100.1779830325.

The spelling of 1005349 in words is "one million, five thousand, three hundred forty-nine".