71807983 has 16 divisors (see below), whose sum is σ = 83020896. Its totient is φ = 61516800.

The previous prime is 71807977. The next prime is 71808013. The reversal of 71807983 is 38970817.

It is a cyclic number.

It is not a de Polignac number, because 71807983 - 2²¹ = 69710831 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71807083) 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 in 15 ways as a sum of consecutive naturals, for example, 13908 + ... + 18358.

It is an arithmetic number, because the mean of its divisors is an integer number (5188806).

Almost surely, 2^71807983 is an apocalyptic number.

71807983 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

71807983 is a deficient number, since it is larger than the sum of its proper divisors (11212913).

71807983 is a wasteful number, since it uses less digits than its factorization.

71807983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554.

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 71807983 is about 8473.9591101208. The cubic root of 71807983 is about 415.6466099379.

The spelling of 71807983 in words is "seventy-one million, eight hundred seven thousand, nine hundred eighty-three".