405743 has 12 divisors (see below), whose sum is σ = 464520. Its totient is φ = 352176.

The previous prime is 405731. The next prime is 405749. The reversal of 405743 is 347504.

It is not a de Polignac number, because 405743 - 2⁶ = 405679 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405749) 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 11 ways as a sum of consecutive naturals, for example, 6848 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (38710).

2⁴⁰⁵⁷⁴³ is an apocalyptic number.

405743 is a deficient number, since it is larger than the sum of its proper divisors (58777).

405743 is a wasteful number, since it uses less digits than its factorization.

405743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 405743 is about 636.9795915098. The cubic root of 405743 is about 74.0315789252.

The spelling of 405743 in words is "four hundred five thousand, seven hundred forty-three".