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8214 = 23372
BaseRepresentation
bin10000000010110
3102021020
42000112
5230324
6102010
732643
oct20026
912236
108214
116198
124906
13397b
142dca
152679
hex2016

8214 has 12 divisors (see below), whose sum is σ = 16884. Its totient is φ = 2664.

The previous prime is 8209. The next prime is 8219. The reversal of 8214 is 4128.

It is an interprime number because it is at equal distance from previous prime (8209) and next prime (8219).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8193 and 8202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (1407).

28214 is an apocalyptic number.

8214 is an abundant number, since it is smaller than the sum of its proper divisors (8670).

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 (8442).

8214 is a wasteful number, since it uses less digits than its factorization.

8214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 8214 is about 90.6311204830. The cubic root of 8214 is about 20.1767664124.

It can be divided in two parts, 8 and 214, that added together give a palindrome (222).

The spelling of 8214 in words is "eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 1369 2738 4107 8214