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8349 = 311223
BaseRepresentation
bin10000010011101
3102110020
42002131
5231344
6102353
733225
oct20235
912406
108349
116300
1249b9
133a53
143085
152719
hex209d

8349 has 12 divisors (see below), whose sum is σ = 12768. Its totient is φ = 4840.

The previous prime is 8329. The next prime is 8353. The reversal of 8349 is 9438.

Subtracting 8349 from its reverse (9438), we obtain a square (1089 = 332).

It is not a de Polignac number, because 8349 - 25 = 8317 is a prime.

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

Its product of digits (864) is a multiple of the sum of its prime factors (48).

It is a Curzon number.

It is a partition number, being equal to the number of ways a set of 32 identical objects can be partitioned into subset.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

28349 is an apocalyptic number.

It is an amenable number.

8349 is a deficient number, since it is larger than the sum of its proper divisors (4419).

8349 is a wasteful number, since it uses less digits than its factorization.

8349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 37 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 8349 is about 91.3728624921. The cubic root of 8349 is about 20.2867037426.

The spelling of 8349 in words is "eight thousand, three hundred forty-nine".

Divisors: 1 3 11 23 33 69 121 253 363 759 2783 8349