420961 has 8 divisors (see below), whose sum is σ = 438464. Its totient is φ = 403920.

The previous prime is 420941. The next prime is 420967. The reversal of 420961 is 169024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420961 - 2⁵ = 420929 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420967) 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, 4036 + ... + 4138.

It is an arithmetic number, because the mean of its divisors is an integer number (54808).

2⁴²⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

420961 is a deficient number, since it is larger than the sum of its proper divisors (17503).

420961 is a wasteful number, since it uses less digits than its factorization.

420961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 420961 is about 648.8150738076. The cubic root of 420961 is about 74.9457978749.

Adding to 420961 its reverse (169024), we get a palindrome (589985).

The spelling of 420961 in words is "four hundred twenty thousand, nine hundred sixty-one".