71983 has 2 divisors, whose sum is σ = 71984. Its totient is φ = 71982.

The previous prime is 71971. The next prime is 71987. The reversal of 71983 is 38917.

71983 is nontrivially palindromic in base 6.

It is a strong prime.

It is an emirp because it is prime and its reverse (38917) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71983 - 2⁹ = 71471 is a prime.

71983 is an undulating number in base 6.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35991 + 35992.

It is an arithmetic number, because the mean of its divisors is an integer number (35992).

2⁷¹⁹⁸³ is an apocalyptic number.

71983 is a deficient number, since it is larger than the sum of its proper divisors (1).

71983 is an equidigital number, since it uses as much as digits as its factorization.

71983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 28.

The square root of 71983 is about 268.2964778002. The cubic root of 71983 is about 41.5984019973.

The spelling of 71983 in words is "seventy-one thousand, nine hundred eighty-three".