420172117 has 2 divisors, whose sum is σ = 420172118. Its totient is φ = 420172116.

The previous prime is 420172079. The next prime is 420172157. The reversal of 420172117 is 711271024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 401561521 + 18610596 = 20039^2 + 4314^2 .

It is a cyclic number.

It is not a de Polignac number, because 420172117 - 2⁷ = 420171989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420172091 and 420172100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420172157) 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, 210086058 + 210086059.

It is an arithmetic number, because the mean of its divisors is an integer number (210086059).

Almost surely, 2^420172117 is an apocalyptic number.

It is an amenable number.

420172117 is a deficient number, since it is larger than the sum of its proper divisors (1).

420172117 is an equidigital number, since it uses as much as digits as its factorization.

420172117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 420172117 is about 20498.1003266156. The cubic root of 420172117 is about 748.9895233421.

The spelling of 420172117 in words is "four hundred twenty million, one hundred seventy-two thousand, one hundred seventeen".