97813 has 2 divisors, whose sum is σ = 97814. Its totient is φ = 97812.

The previous prime is 97789. The next prime is 97829. The reversal of 97813 is 31879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 9604 = 297^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 97813 - 2⁹ = 97301 is a prime.

It is a plaindrome in base 5.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48906 + 48907.

It is an arithmetic number, because the mean of its divisors is an integer number (48907).

2⁹⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

97813 is a deficient number, since it is larger than the sum of its proper divisors (1).

97813 is an equidigital number, since it uses as much as digits as its factorization.

97813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 28.

The square root of 97813 is about 312.7506994397. The cubic root of 97813 is about 46.0750193647.

The spelling of 97813 in words is "ninety-seven thousand, eight hundred thirteen".