414122021 has 2 divisors, whose sum is σ = 414122022. Its totient is φ = 414122020.

The previous prime is 414122011. The next prime is 414122039. The reversal of 414122021 is 120221414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375196900 + 38925121 = 19370^2 + 6239^2 .

It is a cyclic number.

It is not a de Polignac number, because 414122021 - 2⁶ = 414121957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207061010 + 207061011.

It is an arithmetic number, because the mean of its divisors is an integer number (207061011).

Almost surely, 2^414122021 is an apocalyptic number.

It is an amenable number.

414122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

414122021 is an equidigital number, since it uses as much as digits as its factorization.

414122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 414122021 is about 20349.9882309548. The cubic root of 414122021 is about 745.3772069961.

Adding to 414122021 its reverse (120221414), we get a palindrome (534343435).

It can be divided in two parts, 4141 and 22021, that added together give a palindrome (26162).

The spelling of 414122021 in words is "four hundred fourteen million, one hundred twenty-two thousand, twenty-one".