75983 has 2 divisors, whose sum is σ = 75984. Its totient is φ = 75982.

The previous prime is 75979. The next prime is 75989. The reversal of 75983 is 38957.

75983 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 75983 - 2² = 75979 is a prime.

It is a Sophie Germain prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37991 + 37992.

It is an arithmetic number, because the mean of its divisors is an integer number (37992).

2⁷⁵⁹⁸³ is an apocalyptic number.

75983 is a deficient number, since it is larger than the sum of its proper divisors (1).

75983 is an equidigital number, since it uses as much as digits as its factorization.

75983 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 75983 is about 275.6501405768. The cubic root of 75983 is about 42.3550773175.

The spelling of 75983 in words is "seventy-five thousand, nine hundred eighty-three".