1053405 has 42 divisors (see below), whose sum is σ = 2013306. Its totient is φ = 528768.

The previous prime is 1053401. The next prime is 1053407. The reversal of 1053405 is 5043501.

It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 700569 = 594^2 + 837^2 .

It is not a de Polignac number, because 1053405 - 2² = 1053401 is a prime.

It is a super-2 number, since 2×1053405² = 2219324188050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 61957 + ... + 61973.

2^1053405 is an apocalyptic number.

1053405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053405 is a deficient number, since it is larger than the sum of its proper divisors (959901).

1053405 is an frugal number, since it uses more digits than its factorization.

1053405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1053405 is about 1026.3552016724. The cubic root of 1053405 is about 101.7493847395.

Adding to 1053405 its reverse (5043501), we get a palindrome (6096906).

The spelling of 1053405 in words is "one million, fifty-three thousand, four hundred five".