712000217 has 2 divisors, whose sum is σ = 712000218. Its totient is φ = 712000216.

The previous prime is 712000151. The next prime is 712000241.

712000217 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 690060361 + 21939856 = 26269^2 + 4684^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 712000217 - 2¹⁶ = 711934681 is a prime.

It is a super-3 number, since 3×712000217³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (712000277) 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, 356000108 + 356000109.

It is an arithmetic number, because the mean of its divisors is an integer number (356000109).

Almost surely, 2^712000217 is an apocalyptic number.

It is an amenable number.

712000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

712000217 is an equidigital number, since it uses as much as digits as its factorization.

712000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 712000217 is about 26683.3321944618. The cubic root of 712000217 is about 892.9491098332.

It can be divided in two parts, 712000 and 217, that added together give a palindrome (712217).

The spelling of 712000217 in words is "seven hundred twelve million, two hundred seventeen", and thus it is an aban number.