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10722 = 231787

10722 has 8 divisors (see below), whose sum is σ = 21456. Its totient is φ = 3572.

The previous prime is 10711. The next prime is 10723. The reversal of 10722 is 22701.

10722 is nontrivially palindromic in base 8.

10722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

10722 is an admirable number.

It is a super-2 number, since 2×107222 = 229922568, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 0 + 74 + 27 + 213 .

It is a junction number, because it is equal to n+sod(n) for n = 10698 and 10707.

It is not an unprimeable number, because it can be changed into a prime (10723) by changing a digit.

10722 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 888 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (2682).

210722 is an apocalyptic number.

10722 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728).

10722 is a wasteful number, since it uses less digits than its factorization.

10722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10722 is about 103.5470907365. The cubic root of 10722 is about 22.0508465798.

The spelling of 10722 in words is "ten thousand, seven hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 1787 3574 5361 10722