305713 has 4 divisors (see below), whose sum is σ = 307008. Its totient is φ = 304420.

The previous prime is 305663. The next prime is 305717. The reversal of 305713 is 317503.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-305713 is a prime.

It is a Duffinian number.

305713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (305717) 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, 181 + ... + 802.

It is an arithmetic number, because the mean of its divisors is an integer number (76752).

2³⁰⁵⁷¹³ is an apocalyptic number.

It is an amenable number.

305713 is a deficient number, since it is larger than the sum of its proper divisors (1295).

305713 is an equidigital number, since it uses as much as digits as its factorization.

305713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 305713 is about 552.9131939102. The cubic root of 305713 is about 67.3655669171.

The spelling of 305713 in words is "three hundred five thousand, seven hundred thirteen".