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8855 = 571123

8855 has 16 divisors (see below), whose sum is σ = 13824. Its totient is φ = 5280.

The previous prime is 8849. The next prime is 8861. The reversal of 8855 is 5588.

8855 = T57 + T58 + ... + T61.

8855 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

8855 is a nontrivial binomial coefficient, being equal to C(23, 4).

It is an interprime number because it is at equal distance from previous prime (8849) and next prime (8861).

It is not a de Polignac number, because 8855 - 24 = 8839 is a prime.

It is a super-2 number, since 2×88552 = 156822050, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 374 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

28855 is an apocalyptic number.

8855 is the 77-th pentagonal number.

8855 is a deficient number, since it is larger than the sum of its proper divisors (4969).

8855 is a wasteful number, since it uses less digits than its factorization.

With its successor (8856) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (46).

8855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46.

The product of its digits is 1600, while the sum is 26.

The square root of 8855 is about 94.1010095589. The cubic root of 8855 is about 20.6885246828.

The spelling of 8855 in words is "eight thousand, eight hundred fifty-five".

Divisors: 1 5 7 11 23 35 55 77 115 161 253 385 805 1265 1771 8855