97313 has 4 divisors (see below), whose sum is σ = 101568. Its totient is φ = 93060.

The previous prime is 97303. The next prime is 97327. The reversal of 97313 is 31379.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 97313 - 2¹⁰ = 96289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 4231 = 97313 / (9 + 7 + 3 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (97303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2093 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (25392).

2⁹⁷³¹³ is an apocalyptic number.

It is an amenable number.

97313 is a deficient number, since it is larger than the sum of its proper divisors (4255).

97313 is a wasteful number, since it uses less digits than its factorization.

97313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254.

The product of its digits is 567, while the sum is 23.

The square root of 97313 is about 311.9503165570. The cubic root of 97313 is about 45.9963765262.

Adding to 97313 its sum of digits (23), we get a cube (97336 = 46³).

The spelling of 97313 in words is "ninety-seven thousand, three hundred thirteen".