405973 has 8 divisors (see below), whose sum is σ = 446400. Its totient is φ = 367488.

The previous prime is 405967. The next prime is 405989. The reversal of 405973 is 379504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

2⁴⁰⁵⁹⁷³ is an apocalyptic number.

It is an amenable number.

405973 is a deficient number, since it is larger than the sum of its proper divisors (40427).

405973 is a wasteful number, since it uses less digits than its factorization.

405973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 405973 is about 637.1601054680. The cubic root of 405973 is about 74.0455648283.

It can be divided in two parts, 405 and 973, that added together give a triangular number (1378 = T₅₂).

The spelling of 405973 in words is "four hundred five thousand, nine hundred seventy-three".