415072033 has 2 divisors, whose sum is σ = 415072034. Its totient is φ = 415072032.

The previous prime is 415072013. The next prime is 415072039. The reversal of 415072033 is 330270514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406909584 + 8162449 = 20172^2 + 2857^2 .

It is a cyclic number.

It is not a de Polignac number, because 415072033 - 2²⁵ = 381517601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415071989 and 415072007.

It is not a weakly prime, because it can be changed into another prime (415072039) 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, 207536016 + 207536017.

It is an arithmetic number, because the mean of its divisors is an integer number (207536017).

Almost surely, 2^415072033 is an apocalyptic number.

It is an amenable number.

415072033 is a deficient number, since it is larger than the sum of its proper divisors (1).

415072033 is an equidigital number, since it uses as much as digits as its factorization.

415072033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 415072033 is about 20373.3166912018. The cubic root of 415072033 is about 745.9467464567.

The spelling of 415072033 in words is "four hundred fifteen million, seventy-two thousand, thirty-three".