1038405 has 16 divisors (see below), whose sum is σ = 1707264. Its totient is φ = 538560.

The previous prime is 1038391. The next prime is 1038409. The reversal of 1038405 is 5048301.

It is not a de Polignac number, because 1038405 - 2⁹ = 1037893 is a prime.

It is a cake number, because a cake can be divided into 1038405 parts by 184 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (106704).

2^1038405 is an apocalyptic number.

1038405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1038405 is a deficient number, since it is larger than the sum of its proper divisors (668859).

1038405 is a wasteful number, since it uses less digits than its factorization.

1038405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1038405 is about 1019.0215895652. The cubic root of 1038405 is about 101.2641193539.

The spelling of 1038405 in words is "one million, thirty-eight thousand, four hundred five".