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23031 = 33853
BaseRepresentation
bin101100111110111
31011121000
411213313
51214111
6254343
7124101
oct54767
934530
1023031
1116338
12113b3
13a638
148571
156c56
hex59f7

23031 has 8 divisors (see below), whose sum is σ = 34160. Its totient is φ = 15336.

The previous prime is 23029. The next prime is 23039. The reversal of 23031 is 13032.

Adding to 23031 its reverse (13032), we get a palindrome (36063).

Subtracting from 23031 its reverse (13032), we obtain a palindrome (9999).

It can be divided in two parts, 2303 and 1, that added together give a square (2304 = 482).

It is a happy number.

It is not a de Polignac number, because 23031 - 21 = 23029 is a prime.

It is a super-2 number, since 2×230312 = 1060853922, which contains 22 as substring.

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

It is a Duffinian number.

23031 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (4270).

223031 is an apocalyptic number.

23031 is a deficient number, since it is larger than the sum of its proper divisors (11129).

23031 is an equidigital number, since it uses as much as digits as its factorization.

23031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 23031 is about 151.7596784393. The cubic root of 23031 is about 28.4514408562.

The spelling of 23031 in words is "twenty-three thousand, thirty-one".

Divisors: 1 3 9 27 853 2559 7677 23031