417922961 has 4 divisors (see below), whose sum is σ = 418057524. Its totient is φ = 417788400.

The previous prime is 417922937. The next prime is 417922987. The reversal of 417922961 is 169229714.

417922961 = 14455² + 14456².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 208947025 + 208975936 = 14455^2 + 14456^2 .

It is a cyclic number.

It is not a de Polignac number, because 417922961 - 2²⁶ = 350814097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417922931) 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 in 3 ways as a sum of consecutive naturals, for example, 62510 + ... + 68871.

It is an arithmetic number, because the mean of its divisors is an integer number (104514381).

Almost surely, 2^417922961 is an apocalyptic number.

417922961 is the 14456-th centered square number.

It is an amenable number.

417922961 is a deficient number, since it is larger than the sum of its proper divisors (134563).

417922961 is a wasteful number, since it uses less digits than its factorization.

417922961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134562.

The product of its digits is 54432, while the sum is 41.

The square root of 417922961 is about 20443.1641631133. The cubic root of 417922961 is about 747.6506996975.

The spelling of 417922961 in words is "four hundred seventeen million, nine hundred twenty-two thousand, nine hundred sixty-one".