Search a number
-
+
45833 is a prime number
BaseRepresentation
bin1011001100001001
32022212112
423030021
52431313
6552105
7250424
oct131411
968775
1045833
1131487
1222635
1317b28
14129bb
15d8a8
hexb309

45833 has 2 divisors, whose sum is σ = 45834. Its totient is φ = 45832.

The previous prime is 45827. The next prime is 45841. The reversal of 45833 is 33854.

It can be divided in two parts, 45 and 833, that added together give a palindrome (878).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 4624 = 203^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 45833 - 24 = 45817 is a prime.

It is equal to p4748 and since 45833 and 4748 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 45799 and 45808.

It is not a weakly prime, because it can be changed into another prime (45823) 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 as a sum of consecutive naturals, namely, 22916 + 22917.

It is an arithmetic number, because the mean of its divisors is an integer number (22917).

245833 is an apocalyptic number.

It is an amenable number.

45833 is a deficient number, since it is larger than the sum of its proper divisors (1).

45833 is an equidigital number, since it uses as much as digits as its factorization.

45833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 23.

The square root of 45833 is about 214.0864311441. The cubic root of 45833 is about 35.7870660600.

The spelling of 45833 in words is "forty-five thousand, eight hundred thirty-three".