71628617 has 2 divisors, whose sum is σ = 71628618. Its totient is φ = 71628616.

The previous prime is 71628593. The next prime is 71628619. The reversal of 71628617 is 71682617.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68492176 + 3136441 = 8276^2 + 1771^2 .

It is a cyclic number.

It is not a de Polignac number, because 71628617 - 2¹² = 71624521 is a prime.

It is a super-3 number, since 3×71628617³ (a number of 25 digits) contains 333 as substring.

Together with 71628619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71628619) 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, 35814308 + 35814309.

It is an arithmetic number, because the mean of its divisors is an integer number (35814309).

Almost surely, 2^71628617 is an apocalyptic number.

It is an amenable number.

71628617 is a deficient number, since it is larger than the sum of its proper divisors (1).

71628617 is an equidigital number, since it uses as much as digits as its factorization.

71628617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 38.

The square root of 71628617 is about 8463.3691281900. The cubic root of 71628617 is about 415.3002462649.

The spelling of 71628617 in words is "seventy-one million, six hundred twenty-eight thousand, six hundred seventeen".