1305135 has 48 divisors (see below), whose sum is σ = 2568384. Its totient is φ = 608256.

The previous prime is 1305121. The next prime is 1305137. The reversal of 1305135 is 5315031.

It is a happy number.

It is not a de Polignac number, because 1305135 - 2¹⁰ = 1304111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13407 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (53508).

2^1305135 is an apocalyptic number.

1305135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305135 is a deficient number, since it is larger than the sum of its proper divisors (1263249).

1305135 is a wasteful number, since it uses less digits than its factorization.

1305135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1305135 is about 1142.4250522463. The cubic root of 1305135 is about 109.2827995781.

The spelling of 1305135 in words is "one million, three hundred five thousand, one hundred thirty-five".