817313 has 8 divisors (see below), whose sum is σ = 952128. Its totient is φ = 687024.

The previous prime is 817303. The next prime is 817319. The reversal of 817313 is 313718.

It is a happy number.

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 817313 - 2¹² = 813217 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (817319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (119016).

2⁸¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

817313 is a deficient number, since it is larger than the sum of its proper divisors (134815).

817313 is a wasteful number, since it uses less digits than its factorization.

817313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263.

The product of its digits is 504, while the sum is 23.

The square root of 817313 is about 904.0536488506. The cubic root of 817313 is about 93.4966683591.

The spelling of 817313 in words is "eight hundred seventeen thousand, three hundred thirteen".