429971 has 2 divisors, whose sum is σ = 429972. Its totient is φ = 429970.

The previous prime is 429953. The next prime is 429973. The reversal of 429971 is 179924.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 429971 - 2⁶ = 429907 is a prime.

Together with 429973, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is not a weakly prime, because it can be changed into another prime (429973) 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, 214985 + 214986.

It is an arithmetic number, because the mean of its divisors is an integer number (214986).

2⁴²⁹⁹⁷¹ is an apocalyptic number.

429971 is a deficient number, since it is larger than the sum of its proper divisors (1).

429971 is an equidigital number, since it uses as much as digits as its factorization.

429971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 32.

The square root of 429971 is about 655.7217397647. The cubic root of 429971 is about 75.4767263030.

Subtracting from 429971 its reverse (179924), we obtain a cube (250047 = 63³).

The spelling of 429971 in words is "four hundred twenty-nine thousand, nine hundred seventy-one".