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654 = 23109

• 654 can be written using four 4's:

See also 113.
654 has 8 divisors (see below), whose sum is σ = 1320. Its totient is φ = 216.

The previous prime is 653. The next prime is 659. The reversal of 654 is 456.

654 is nontrivially palindromic in base 11.

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

654 is an esthetic number in base 10 and base 11, because in such bases its adjacent digits differ by 1.

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

654 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

654 is an undulating number in base 11.

654 is a modest number, since divided by 54 gives 6 as remainder.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 12, base 14 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 60.

It is an arithmetic number, because the mean of its divisors is an integer number (165).

654 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 (660).

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

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

The sum of its prime factors is 114.

The product of its digits is 120, while the sum is 15.

The square root of 654 is about 25.5734237051. The cubic root of 654 is about 8.6801237356.

It can be divided in two parts, 6 and 54, that multiplied together give a square (324 = 182).

The spelling of 654 in words is "six hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 109 218 327 654