621312 has 36 divisors (see below), whose sum is σ = 1655640. Its totient is φ = 206848.

The previous prime is 621301. The next prime is 621317. The reversal of 621312 is 213126.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 621291 and 621300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 621312.

It is not an unprimeable number, because it can be changed into a prime (621317) 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, 364 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (45990).

2⁶²¹³¹² 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 621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827820).

621312 is an abundant number, since it is smaller than the sum of its proper divisors (1034328).

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

621312 is an equidigital number, since it uses as much as digits as its factorization.

621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 621312 is about 788.2334679522. The cubic root of 621312 is about 85.3302950307.

Adding to 621312 its reverse (213126), we get a palindrome (834438).

The spelling of 621312 in words is "six hundred twenty-one thousand, three hundred twelve".