75679 has 2 divisors, whose sum is σ = 75680. Its totient is φ = 75678.

The previous prime is 75659. The next prime is 75683. The reversal of 75679 is 97657.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 75679 - 2⁹ = 75167 is a prime.

It is a super-2 number, since 2×75679² = 11454622082, which contains 22 as substring.

75679 is a lucky number.

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 (75619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37839 + 37840.

It is an arithmetic number, because the mean of its divisors is an integer number (37840).

2⁷⁵⁶⁷⁹ is an apocalyptic number.

75679 is a deficient number, since it is larger than the sum of its proper divisors (1).

75679 is an equidigital number, since it uses as much as digits as its factorization.

75679 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 34.

The square root of 75679 is about 275.0981642978. The cubic root of 75679 is about 42.2985157466.

The spelling of 75679 in words is "seventy-five thousand, six hundred seventy-nine".