628617 has 16 divisors (see below), whose sum is σ = 937728. Its totient is φ = 371280.

The previous prime is 628591. The next prime is 628651. The reversal of 628617 is 716826.

It is a happy number.

628617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 628617 - 2¹⁰ = 627593 is a prime.

It is a super-3 number, since 3×628617³ = 745211622710883339, which contains 333 as substring.

628617 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (628687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (58608).

2⁶²⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

628617 is a deficient number, since it is larger than the sum of its proper divisors (309111).

628617 is a wasteful number, since it uses less digits than its factorization.

628617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500.

The product of its digits is 4032, while the sum is 30.

The square root of 628617 is about 792.8537065563. The cubic root of 628617 is about 85.6634130663.

Subtracting 628617 from its reverse (716826), we obtain a square (88209 = 297²).

The spelling of 628617 in words is "six hundred twenty-eight thousand, six hundred seventeen".