75979 has 2 divisors, whose sum is σ = 75980. Its totient is φ = 75978.

The previous prime is 75967. The next prime is 75983. The reversal of 75979 is 97957.

75979 is nontrivially palindromic in base 6.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75979 is a prime.

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, 37989 + 37990.

It is an arithmetic number, because the mean of its divisors is an integer number (37990).

2⁷⁵⁹⁷⁹ is an apocalyptic number.

75979 is a deficient number, since it is larger than the sum of its proper divisors (1).

75979 is an equidigital number, since it uses as much as digits as its factorization.

75979 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19845, while the sum is 37.

The square root of 75979 is about 275.6428849073. The cubic root of 75979 is about 42.3543340667.

It can be divided in two parts, 759 and 79, that added together give a palindrome (838).

The spelling of 75979 in words is "seventy-five thousand, nine hundred seventy-nine".