406971 has 8 divisors (see below), whose sum is σ = 602960. Its totient is φ = 271296.

The previous prime is 406969. The next prime is 406981. The reversal of 406971 is 179604.

It is not a de Polignac number, because 406971 - 2¹ = 406969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15073 = 406971 / (4 + 0 + 6 + 9 + 7 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406951) 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, 7510 + ... + 7563.

It is an arithmetic number, because the mean of its divisors is an integer number (75370).

2⁴⁰⁶⁹⁷¹ is an apocalyptic number.

406971 is a deficient number, since it is larger than the sum of its proper divisors (195989).

406971 is a wasteful number, since it uses less digits than its factorization.

406971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15082 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 406971 is about 637.9427874034. The cubic root of 406971 is about 74.1061903727.

The spelling of 406971 in words is "four hundred six thousand, nine hundred seventy-one".