405971 has 4 divisors (see below), whose sum is σ = 420000. Its totient is φ = 391944.

The previous prime is 405967. The next prime is 405989. The reversal of 405971 is 179504.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 405971 - 2² = 405967 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 405971.

It is not an unprimeable number, because it can be changed into a prime (405901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6971 + ... + 7028.

It is an arithmetic number, because the mean of its divisors is an integer number (105000).

2⁴⁰⁵⁹⁷¹ is an apocalyptic number.

405971 is a deficient number, since it is larger than the sum of its proper divisors (14029).

405971 is a wasteful number, since it uses less digits than its factorization.

405971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 405971 is about 637.1585360018. The cubic root of 405971 is about 74.0454432345.

The spelling of 405971 in words is "four hundred five thousand, nine hundred seventy-one".