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4123 = 71931
BaseRepresentation
bin1000000011011
312122201
41000123
5112443
631031
715010
oct10033
95581
104123
113109
122477
131b52
141707
15134d
hex101b

4123 has 8 divisors (see below), whose sum is σ = 5120. Its totient is φ = 3240.

The previous prime is 4111. The next prime is 4127. The reversal of 4123 is 3214.

Adding to 4123 its reverse (3214), we get a palindrome (7337).

Subtracting from 4123 its reverse (3214), we obtain a palindrome (909).

It can be divided in two parts, 41 and 23, that added together give a 6-th power (64 = 26).

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

It is a cyclic number.

It is not a de Polignac number, because 4123 - 25 = 4091 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127) by changing a digit.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118 + ... + 148.

It is an arithmetic number, because the mean of its divisors is an integer number (640).

24123 is an apocalyptic number.

4123 is a deficient number, since it is larger than the sum of its proper divisors (997).

4123 is a wasteful number, since it uses less digits than its factorization.

4123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57.

The product of its digits is 24, while the sum is 10.

The square root of 4123 is about 64.2105910267. The cubic root of 4123 is about 16.0350792840.

The spelling of 4123 in words is "four thousand, one hundred twenty-three", and thus it is an iban number.

Divisors: 1 7 19 31 133 217 589 4123