8004121 has 2 divisors, whose sum is σ = 8004122. Its totient is φ = 8004120.

The previous prime is 8004119. The next prime is 8004133. The reversal of 8004121 is 1214008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7901721 + 102400 = 2811^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004121 - 2¹ = 8004119 is a prime.

Together with 8004119, it forms a pair of twin primes.

8004121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8004095 and 8004104.

It is not a weakly prime, because it can be changed into another prime (8004151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002060 + 4002061.

It is an arithmetic number, because the mean of its divisors is an integer number (4002061).

Almost surely, 2^8004121 is an apocalyptic number.

It is an amenable number.

8004121 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004121 is an equidigital number, since it uses as much as digits as its factorization.

8004121 is an evil number, because the sum of its binary digits is even.

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

The square root of 8004121 is about 2829.1555277149. The cubic root of 8004121 is about 200.0343357716.

Adding to 8004121 its reverse (1214008), we get a palindrome (9218129).

It can be divided in two parts, 80041 and 21, that multiplied together give a palindrome (1680861).

The spelling of 8004121 in words is "eight million, four thousand, one hundred twenty-one".