75973 has 8 divisors (see below), whose sum is σ = 83160. Its totient is φ = 69120.

The previous prime is 75967. The next prime is 75979. The reversal of 75973 is 37957.

It is an interprime number because it is at equal distance from previous prime (75967) and next prime (75979).

It can be written as a sum of positive squares in 4 ways, for example, as 9409 + 66564 = 97^2 + 258^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75973 - 2⁵ = 75941 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 751.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2⁷⁵⁹⁷³ is an apocalyptic number.

It is an amenable number.

75973 is a deficient number, since it is larger than the sum of its proper divisors (7187).

75973 is a wasteful number, since it uses less digits than its factorization.

75973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 6615, while the sum is 31.

The square root of 75973 is about 275.6320010449. The cubic root of 75973 is about 42.3532191415.

It can be divided in two parts, 7597 and 3, that multiplied together give a triangular number (22791 = T₂₁₃).

The spelling of 75973 in words is "seventy-five thousand, nine hundred seventy-three".