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923 = 1371
BaseRepresentation
bin1110011011
31021012
432123
512143
64135
72456
oct1633
91235
10923
1176a
1264b
13560
1449d
15418
hex39b

923 has 4 divisors (see below), whose sum is σ = 1008. Its totient is φ = 840.

The previous prime is 919. The next prime is 929. The reversal of 923 is 329.

It is a happy number.

923 is nontrivially palindromic in base 4.

923 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 329 = 747.

It is a cyclic number.

It is not a de Polignac number, because 923 - 22 = 919 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 7, base 9, base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 898 and 907.

It is not an unprimeable number, because it can be changed into a prime (929) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 23 + ... + 48.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

923 is a deficient number, since it is larger than the sum of its proper divisors (85).

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

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

The sum of its prime factors is 84.

The product of its digits is 54, while the sum is 14.

The square root of 923 is about 30.3809150619. The cubic root of 923 is about 9.7364484097.

Subtracting from 923 its sum of digits (14), we obtain a palindrome (909).

It can be divided in two parts, 92 and 3, that multiplied together give a triangular number (276 = T23).

The spelling of 923 in words is "nine hundred twenty-three", and thus it is an aban number and an oban number.

Divisors: 1 13 71 923