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4023 = 33149
BaseRepresentation
bin111110110111
312112000
4332313
5112043
630343
714505
oct7667
95460
104023
113028
1223b3
131aa6
141675
1512d3
hexfb7

4023 has 8 divisors (see below), whose sum is σ = 6000. Its totient is φ = 2664.

The previous prime is 4021. The next prime is 4027. The reversal of 4023 is 3204.

Adding to 4023 its reverse (3204), we get a palindrome (7227).

4023 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 4023 - 21 = 4021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

4023 is a lucky number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3996 and 4014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (750).

24023 is an apocalyptic number.

4023 is a deficient number, since it is larger than the sum of its proper divisors (1977).

4023 is a wasteful number, since it uses less digits than its factorization.

4023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4023 is about 63.4271235356. The cubic root of 4023 is about 15.9043775771.

The spelling of 4023 in words is "four thousand, twenty-three", and thus it is an iban number.

Divisors: 1 3 9 27 149 447 1341 4023