408121 has 6 divisors (see below), whose sum is σ = 474810. Its totient is φ = 349776.

The previous prime is 408091. The next prime is 408127. The reversal of 408121 is 121804.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 132496 = 525^2 + 364^2 .

It is not a de Polignac number, because 408121 - 2⁷ = 407993 is a prime.

408121 is a lucky number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 408095 and 408104.

It is not an unprimeable number, because it can be changed into a prime (408127) 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, 4116 + ... + 4213.

It is an arithmetic number, because the mean of its divisors is an integer number (79135).

2⁴⁰⁸¹²¹ is an apocalyptic number.

It is an amenable number.

408121 is a deficient number, since it is larger than the sum of its proper divisors (66689).

408121 is an equidigital number, since it uses as much as digits as its factorization.

408121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 408121 is about 638.8434863094. The cubic root of 408121 is about 74.1759266868.

Adding to 408121 its reverse (121804), we get a palindrome (529925).

It can be divided in two parts, 408 and 121, that added together give a square (529 = 23²).

The spelling of 408121 in words is "four hundred eight thousand, one hundred twenty-one".