75982 has 4 divisors (see below), whose sum is σ = 113976. Its totient is φ = 37990.

The previous prime is 75979. The next prime is 75983. The reversal of 75982 is 28957.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 28957 = 23 ⋅1259.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18994 + ... + 18997.

It is an arithmetic number, because the mean of its divisors is an integer number (28494).

2⁷⁵⁹⁸² is an apocalyptic number.

75982 is a deficient number, since it is larger than the sum of its proper divisors (37994).

75982 is a wasteful number, since it uses less digits than its factorization.

75982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37993.

The product of its digits is 5040, while the sum is 31.

The square root of 75982 is about 275.6483266773. The cubic root of 75982 is about 42.3548915073.

It can be divided in two parts, 759 and 82, that added together give a square (841 = 29²).

The spelling of 75982 in words is "seventy-five thousand, nine hundred eighty-two".