414212921 has 2 divisors, whose sum is σ = 414212922. Its totient is φ = 414212920.

The previous prime is 414212881. The next prime is 414212923. The reversal of 414212921 is 129212414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264517696 + 149695225 = 16264^2 + 12235^2 .

It is a cyclic number.

It is not a de Polignac number, because 414212921 - 2²⁶ = 347104057 is a prime.

Together with 414212923, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414212923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207106460 + 207106461.

It is an arithmetic number, because the mean of its divisors is an integer number (207106461).

Almost surely, 2^414212921 is an apocalyptic number.

It is an amenable number.

414212921 is a deficient number, since it is larger than the sum of its proper divisors (1).

414212921 is an equidigital number, since it uses as much as digits as its factorization.

414212921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

The square root of 414212921 is about 20352.2215249343. The cubic root of 414212921 is about 745.4317399018.

The spelling of 414212921 in words is "four hundred fourteen million, two hundred twelve thousand, nine hundred twenty-one".