414152021 has 2 divisors, whose sum is σ = 414152022. Its totient is φ = 414152020.

The previous prime is 414152003. The next prime is 414152047. The reversal of 414152021 is 120251414.

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., 404572996 + 9579025 = 20114^2 + 3095^2 .

It is a cyclic number.

It is not a de Polignac number, because 414152021 - 2⁶ = 414151957 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414151984 and 414152002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414152821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207076010 + 207076011.

It is an arithmetic number, because the mean of its divisors is an integer number (207076011).

Almost surely, 2^414152021 is an apocalyptic number.

It is an amenable number.

414152021 is a deficient number, since it is larger than the sum of its proper divisors (1).

414152021 is an equidigital number, since it uses as much as digits as its factorization.

414152021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 414152021 is about 20350.7253187694. The cubic root of 414152021 is about 745.3952055369.

The spelling of 414152021 in words is "four hundred fourteen million, one hundred fifty-two thousand, twenty-one".