75977 has 4 divisors (see below), whose sum is σ = 82896. Its totient is φ = 69060.

The previous prime is 75967. The next prime is 75979. The reversal of 75977 is 77957.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 75977 - 2⁶ = 75913 is a prime.

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 3 ways as a sum of consecutive naturals, for example, 3443 + ... + 3464.

It is an arithmetic number, because the mean of its divisors is an integer number (20724).

2⁷⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

75977 is a deficient number, since it is larger than the sum of its proper divisors (6919).

75977 is a wasteful number, since it uses less digits than its factorization.

75977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918.

The product of its digits is 15435, while the sum is 35.

The square root of 75977 is about 275.6392570009. The cubic root of 75977 is about 42.3539624315.

The spelling of 75977 in words is "seventy-five thousand, nine hundred seventy-seven".