456713 has 4 divisors (see below), whose sum is σ = 459780. Its totient is φ = 453648.

The previous prime is 456697. The next prime is 456727. The reversal of 456713 is 317654.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 273529 + 183184 = 523^2 + 428^2 .

It is a cyclic number.

It is not a de Polignac number, because 456713 - 2⁴ = 456697 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 (456763) 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, 1298 + ... + 1611.

It is an arithmetic number, because the mean of its divisors is an integer number (114945).

2⁴⁵⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

456713 is a deficient number, since it is larger than the sum of its proper divisors (3067).

456713 is a wasteful number, since it uses less digits than its factorization.

456713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066.

The product of its digits is 2520, while the sum is 26.

The square root of 456713 is about 675.8054453761. The cubic root of 456713 is about 77.0101184207.

The spelling of 456713 in words is "four hundred fifty-six thousand, seven hundred thirteen".