408971 has 2 divisors, whose sum is σ = 408972. Its totient is φ = 408970.

The previous prime is 408959. The next prime is 408979. The reversal of 408971 is 179804.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 408971 - 2¹⁰ = 407947 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (408979) 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 as a sum of consecutive naturals, namely, 204485 + 204486.

It is an arithmetic number, because the mean of its divisors is an integer number (204486).

2⁴⁰⁸⁹⁷¹ is an apocalyptic number.

408971 is a deficient number, since it is larger than the sum of its proper divisors (1).

408971 is an equidigital number, since it uses as much as digits as its factorization.

408971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 408971 is about 639.5084049487. The cubic root of 408971 is about 74.2273867659.

The spelling of 408971 in words is "four hundred eight thousand, nine hundred seventy-one".