216825073 has 2 divisors, whose sum is σ = 216825074. Its totient is φ = 216825072.

The previous prime is 216825047. The next prime is 216825079. The reversal of 216825073 is 370528612.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202293729 + 14531344 = 14223^2 + 3812^2 .

It is a cyclic number.

It is not a de Polignac number, because 216825073 - 2⁵ = 216825041 is a prime.

It is a super-2 number, since 2×216825073² = 94026224562910658, which contains 22 as substring.

It is equal to p_11957290 and since 216825073 and 11957290 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (216825079) 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, 108412536 + 108412537.

It is an arithmetic number, because the mean of its divisors is an integer number (108412537).

Almost surely, 2^216825073 is an apocalyptic number.

It is an amenable number.

216825073 is a deficient number, since it is larger than the sum of its proper divisors (1).

216825073 is an equidigital number, since it uses as much as digits as its factorization.

216825073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 216825073 is about 14724.9812563548. The cubic root of 216825073 is about 600.7629858246.

The spelling of 216825073 in words is "two hundred sixteen million, eight hundred twenty-five thousand, seventy-three".