1505205 has 48 divisors (see below), whose sum is σ = 2935296. Its totient is φ = 708480.

The previous prime is 1505201. The next prime is 1505209. The reversal of 1505205 is 5025051.

It is an interprime number because it is at equal distance from previous prime (1505201) and next prime (1505209).

It is not a de Polignac number, because 1505205 - 2² = 1505201 is a prime.

1505205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18094 + ... + 18176.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

2^1505205 is an apocalyptic number.

1505205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505205 is a deficient number, since it is larger than the sum of its proper divisors (1430091).

1505205 is a wasteful number, since it uses less digits than its factorization.

1505205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 1505205 is about 1226.8679635560. The cubic root of 1505205 is about 114.6036766818.

The spelling of 1505205 in words is "one million, five hundred five thousand, two hundred five".