420971 has 4 divisors (see below), whose sum is σ = 445752. Its totient is φ = 396192.

The previous prime is 420967. The next prime is 420977. The reversal of 420971 is 179024.

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 420971 - 2² = 420967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420977) 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 in 3 ways as a sum of consecutive naturals, for example, 12365 + ... + 12398.

It is an arithmetic number, because the mean of its divisors is an integer number (111438).

2⁴²⁰⁹⁷¹ is an apocalyptic number.

420971 is a deficient number, since it is larger than the sum of its proper divisors (24781).

420971 is a wasteful number, since it uses less digits than its factorization.

420971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24780.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 420971 is about 648.8227801180. The cubic root of 420971 is about 74.9463913202.

Adding to 420971 its reverse (179024), we get a palindrome (599995).

The spelling of 420971 in words is "four hundred twenty thousand, nine hundred seventy-one".