1305255 has 32 divisors (see below), whose sum is σ = 2469888. Its totient is φ = 576000.

The previous prime is 1305253. The next prime is 1305287. The reversal of 1305255 is 5525031.

1305255 = 190² + 191² + ... + 220².

It is not a de Polignac number, because 1305255 - 2¹ = 1305253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

1305255 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305251) 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 31 ways as a sum of consecutive naturals, for example, 3055 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (77184).

2^1305255 is an apocalyptic number.

1305255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1305255 is a deficient number, since it is larger than the sum of its proper divisors (1164633).

1305255 is a wasteful number, since it uses less digits than its factorization.

1305255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1305255 is about 1142.4775708958. The cubic root of 1305255 is about 109.2861487933.

The spelling of 1305255 in words is "one million, three hundred five thousand, two hundred fifty-five".