621972 has 48 divisors (see below), whose sum is σ = 1740480. Its totient is φ = 190944.

The previous prime is 621941. The next prime is 621983. The reversal of 621972 is 279126.

621972 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

621972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 1625.

It is an arithmetic number, because the mean of its divisors is an integer number (36260).

2⁶²¹⁹⁷² 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 621972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870240).

621972 is an abundant number, since it is smaller than the sum of its proper divisors (1118508).

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

621972 is a wasteful number, since it uses less digits than its factorization.

621972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 621972 is about 788.6520145159. The cubic root of 621972 is about 85.3604988923.

The spelling of 621972 in words is "six hundred twenty-one thousand, nine hundred seventy-two".