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16722 = 232929
BaseRepresentation
bin100000101010010
3211221100
410011102
51013342
6205230
766516
oct40522
924840
1016722
1111622
129816
1377c4
146146
154e4c
hex4152

16722 has 12 divisors (see below), whose sum is σ = 36270. Its totient is φ = 5568.

The previous prime is 16703. The next prime is 16729. The reversal of 16722 is 22761.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 16641 + 81 = 129^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 929 = 16722 / (1 + 6 + 7 + 2 + 2).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 16695 and 16704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16729) by changing a digit.

16722 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 447 + ... + 482.

216722 is an apocalyptic number.

16722 is an abundant number, since it is smaller than the sum of its proper divisors (19548).

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

16722 is a wasteful number, since it uses less digits than its factorization.

16722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 934 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 16722 is about 129.3135723735. The cubic root of 16722 is about 25.5718848239.

16722 divided by its sum of digits (18) gives a palindrome (929).

The spelling of 16722 in words is "sixteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 929 1858 2787 5574 8361 16722