71965917 has 12 divisors (see below), whose sum is σ = 104024700. Its totient is φ = 47943168.

The previous prime is 71965903. The next prime is 71965931. The reversal of 71965917 is 71956917.

It is an interprime number because it is at equal distance from previous prime (71965903) and next prime (71965931).

It can be written as a sum of positive squares in 2 ways, for example, as 70207641 + 1758276 = 8379^2 + 1326^2 .

It is not a de Polignac number, because 71965917 - 2⁶ = 71965853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71965937) 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 in 11 ways as a sum of consecutive naturals, for example, 21373 + ... + 24509.

It is an arithmetic number, because the mean of its divisors is an integer number (8668725).

Almost surely, 2^71965917 is an apocalyptic number.

It is an amenable number.

71965917 is a deficient number, since it is larger than the sum of its proper divisors (32058783).

71965917 is a wasteful number, since it uses less digits than its factorization.

71965917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5689 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 71965917 is about 8483.2727764702. The cubic root of 71965917 is about 415.9511102709.

The spelling of 71965917 in words is "seventy-one million, nine hundred sixty-five thousand, nine hundred seventeen".