628713 has 6 divisors (see below), whose sum is σ = 908154. Its totient is φ = 419136.

The previous prime is 628709. The next prime is 628721. The reversal of 628713 is 317826.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 127449 = 708^2 + 357^2 .

It is not a de Polignac number, because 628713 - 2² = 628709 is a prime.

628713 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (628753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34920 + ... + 34937.

It is an arithmetic number, because the mean of its divisors is an integer number (151359).

2⁶²⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

628713 is a deficient number, since it is larger than the sum of its proper divisors (279441).

628713 is a wasteful number, since it uses less digits than its factorization.

628713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69863 (or 69860 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 628713 is about 792.9142450480. The cubic root of 628713 is about 85.6677735747.

The spelling of 628713 in words is "six hundred twenty-eight thousand, seven hundred thirteen".