97579 has 2 divisors, whose sum is σ = 97580. Its totient is φ = 97578.

The previous prime is 97577. The next prime is 97583.

97579 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 97579 - 2¹ = 97577 is a prime.

It is a super-2 number, since 2×97579² = 19043322482, which contains 22 as substring.

Together with 97577, it forms a pair of twin primes.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (97571) 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, 48789 + 48790.

It is an arithmetic number, because the mean of its divisors is an integer number (48790).

2⁹⁷⁵⁷⁹ is an apocalyptic number.

97579 is a deficient number, since it is larger than the sum of its proper divisors (1).

97579 is an equidigital number, since it uses as much as digits as its factorization.

97579 is an odious number, because the sum of its binary digits is odd.

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

The square root of 97579 is about 312.3763755472. The cubic root of 97579 is about 46.0382479620.

It can be divided in two parts, 97 and 579, that added together give a palindrome (676).

The spelling of 97579 in words is "ninety-seven thousand, five hundred seventy-nine".