428121 has 6 divisors (see below), whose sum is σ = 618410. Its totient is φ = 285408.

The previous prime is 428093. The next prime is 428137. The reversal of 428121 is 121824.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 68121 = 600^2 + 261^2 .

It is not a de Polignac number, because 428121 - 2⁷ = 427993 is a prime.

It is a Duffinian number.

428121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 428094 and 428103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428121.

It is not an unprimeable number, because it can be changed into a prime (428161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23776 + ... + 23793.

2⁴²⁸¹²¹ is an apocalyptic number.

It is an amenable number.

428121 is a deficient number, since it is larger than the sum of its proper divisors (190289).

428121 is a wasteful number, since it uses less digits than its factorization.

428121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47575 (or 47572 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 428121 is about 654.3095597651. The cubic root of 428121 is about 75.3683215620.

Adding to 428121 its reverse (121824), we get a palindrome (549945).

The spelling of 428121 in words is "four hundred twenty-eight thousand, one hundred twenty-one".