97613 has 2 divisors, whose sum is σ = 97614. Its totient is φ = 97612.

The previous prime is 97609. The next prime is 97649. The reversal of 97613 is 31679.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 3364 = 307^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 97613 - 2² = 97609 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97673) 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, 48806 + 48807.

It is an arithmetic number, because the mean of its divisors is an integer number (48807).

2⁹⁷⁶¹³ is an apocalyptic number.

It is an amenable number.

97613 is a deficient number, since it is larger than the sum of its proper divisors (1).

97613 is an equidigital number, since it uses as much as digits as its factorization.

97613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

The square root of 97613 is about 312.4307923365. The cubic root of 97613 is about 46.0435944630.

It can be divided in two parts, 976 and 13, that added together give a palindrome (989).

The spelling of 97613 in words is "ninety-seven thousand, six hundred thirteen".