93313 has 8 divisors (see below), whose sum is σ = 108000. Its totient is φ = 79680.

The previous prime is 93307. The next prime is 93319. The reversal of 93313 is 31339.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (93307) and next prime (93319).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 93313 - 2⁵ = 93281 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁹³³¹³ is an apocalyptic number.

It is an amenable number.

93313 is a deficient number, since it is larger than the sum of its proper divisors (14687).

93313 is a wasteful number, since it uses less digits than its factorization.

93313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 243, while the sum is 19.

The square root of 93313 is about 305.4717662895. The cubic root of 93313 is about 45.3573198225.

It can be divided in two parts, 933 and 13, that added together give a triangular number (946 = T₄₃).

The spelling of 93313 in words is "ninety-three thousand, three hundred thirteen".