472117133 has 2 divisors, whose sum is σ = 472117134. Its totient is φ = 472117132.

The previous prime is 472117123. The next prime is 472117157. The reversal of 472117133 is 331711274.

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., 357134404 + 114982729 = 18898^2 + 10723^2 .

It is a cyclic number.

It is not a de Polignac number, because 472117133 - 2⁶ = 472117069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 472117096 and 472117105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (472117123) 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, 236058566 + 236058567.

It is an arithmetic number, because the mean of its divisors is an integer number (236058567).

Almost surely, 2^472117133 is an apocalyptic number.

It is an amenable number.

472117133 is a deficient number, since it is larger than the sum of its proper divisors (1).

472117133 is an equidigital number, since it uses as much as digits as its factorization.

472117133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 29.

The square root of 472117133 is about 21728.2565568432. The cubic root of 472117133 is about 778.6636843941.

The spelling of 472117133 in words is "four hundred seventy-two million, one hundred seventeen thousand, one hundred thirty-three".