628101 has 16 divisors (see below), whose sum is σ = 953920. Its totient is φ = 408240.

The previous prime is 628097. The next prime is 628127. The reversal of 628101 is 101826.

It is not a de Polignac number, because 628101 - 2² = 628097 is a prime.

It is a Duffinian number.

628101 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628101.

It is not an unprimeable number, because it can be changed into a prime (628171) 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, 891 + ... + 1431.

It is an arithmetic number, because the mean of its divisors is an integer number (59620).

2⁶²⁸¹⁰¹ is an apocalyptic number.

It is an amenable number.

628101 is a deficient number, since it is larger than the sum of its proper divisors (325819).

628101 is a wasteful number, since it uses less digits than its factorization.

628101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 628101 is about 792.5282329356. The cubic root of 628101 is about 85.6399677246.

Adding to 628101 its reverse (101826), we get a palindrome (729927).

It can be divided in two parts, 628 and 101, that added together give a 6-th power (729 = 3⁶).

The spelling of 628101 in words is "six hundred twenty-eight thousand, one hundred one".