1505085 has 16 divisors (see below), whose sum is σ = 2535360. Its totient is φ = 760320.

The previous prime is 1505083. The next prime is 1505087. The reversal of 1505085 is 5805051.

It is an interprime number because it is at equal distance from previous prime (1505083) and next prime (1505087).

It is not a de Polignac number, because 1505085 - 2¹ = 1505083 is a prime.

1505085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2356 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (158460).

2^1505085 is an apocalyptic number.

1505085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505085 is a deficient number, since it is larger than the sum of its proper divisors (1030275).

1505085 is a wasteful number, since it uses less digits than its factorization.

1505085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 1505085 is about 1226.8190575631. The cubic root of 1505085 is about 114.6006310708.

The spelling of 1505085 in words is "one million, five hundred five thousand, eighty-five".