621712 has 60 divisors (see below), whose sum is σ = 1533756. Its totient is φ = 241920.

The previous prime is 621703. The next prime is 621721. The reversal of 621712 is 217126.

621712 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (621703) and next prime (621721).

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 571536 = 224^2 + 756^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 621712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10162 + ... + 10222.

2⁶²¹⁷¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766878).

621712 is an abundant number, since it is smaller than the sum of its proper divisors (912044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

621712 is a wasteful number, since it uses less digits than its factorization.

621712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 621712 is about 788.4871590584. The cubic root of 621712 is about 85.3486029532.

Adding to 621712 its reverse (217126), we get a palindrome (838838).

The spelling of 621712 in words is "six hundred twenty-one thousand, seven hundred twelve".