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1923 = 3641
BaseRepresentation
bin11110000011
32122020
4132003
530143
612523
75415
oct3603
92566
101923
111499
121143
13b4c
149b5
15883
hex783

1923 has 4 divisors (see below), whose sum is σ = 2568. Its totient is φ = 1280.

The previous prime is 1913. The next prime is 1931. The reversal of 1923 is 3291.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3291 = 31097.

It is a cyclic number.

It is not a de Polignac number, because 1923 - 24 = 1907 is a prime.

It is a super-3 number, since 3×19233 = 21333352401, which contains 333 as substring.

It is a D-number.

1923 is a lucky number.

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (642).

1923 is a deficient number, since it is larger than the sum of its proper divisors (645).

1923 is an equidigital number, since it uses as much as digits as its factorization.

1923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644.

The product of its digits is 54, while the sum is 15.

The square root of 1923 is about 43.8520238986. The cubic root of 1923 is about 12.4354000562.

It can be divided in two parts, 192 and 3, that multiplied together give a square (576 = 242).

The spelling of 1923 in words is "one thousand, nine hundred twenty-three".

Divisors: 1 3 641 1923