1505385 has 56 divisors (see below), whose sum is σ = 3147840. Its totient is φ = 676512.

The previous prime is 1505381. The next prime is 1505407. The reversal of 1505385 is 5835051.

It is not a de Polignac number, because 1505385 - 2² = 1505381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1505381) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25486 + ... + 25544.

2^1505385 is an apocalyptic number.

1505385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505385 is an abundant number, since it is smaller than the sum of its proper divisors (1642455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1505385 is an frugal number, since it uses more digits than its factorization.

1505385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1505385 is about 1226.9413188902. The cubic root of 1505385 is about 114.6082447948.

1505385 divided by its sum of digits (27) gives a palindrome (55755).

The spelling of 1505385 in words is "one million, five hundred five thousand, three hundred eighty-five".