1005405 has 16 divisors (see below), whose sum is σ = 1627584. Its totient is φ = 529920.

The previous prime is 1005391. The next prime is 1005409. The reversal of 1005405 is 5045001.

It is not a de Polignac number, because 1005405 - 2⁵ = 1005373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

1005405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005409) 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, 1110 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (101724).

2^1005405 is an apocalyptic number.

1005405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005405 is a deficient number, since it is larger than the sum of its proper divisors (622179).

1005405 is an equidigital number, since it uses as much as digits as its factorization.

1005405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1005405 is about 1002.6988580825. The cubic root of 1005405 is about 100.1798430376.

The spelling of 1005405 in words is "one million, five thousand, four hundred five".