420121 has 8 divisors (see below), whose sum is σ = 479304. Its totient is φ = 364800.

The previous prime is 420103. The next prime is 420149. The reversal of 420121 is 121024.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 416025 = 64^2 + 645^2 .

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 420121 - 2⁹ = 419609 is a prime.

It is a Duffinian number.

420121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 420098 and 420107.

It is not an unprimeable number, because it can be changed into a prime (420191) 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, 730 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (59913).

2⁴²⁰¹²¹ is an apocalyptic number.

It is an amenable number.

420121 is a deficient number, since it is larger than the sum of its proper divisors (59183).

420121 is a wasteful number, since it uses less digits than its factorization.

420121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 420121 is about 648.1674166448. The cubic root of 420121 is about 74.8959148766.

Adding to 420121 its reverse (121024), we get a palindrome (541145).

The spelling of 420121 in words is "four hundred twenty thousand, one hundred twenty-one", and thus it is an iban number.