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45823 is a prime number
BaseRepresentation
bin1011001011111111
32022212011
423023333
52431243
6552051
7250411
oct131377
968764
1045823
1131478
1222627
1317b1b
14129b1
15d89d
hexb2ff

45823 has 2 divisors, whose sum is σ = 45824. Its totient is φ = 45822.

The previous prime is 45821. The next prime is 45827. The reversal of 45823 is 32854.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 45823 - 21 = 45821 is a prime.

Together with 45821, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 45794 and 45803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22911 + 22912.

It is an arithmetic number, because the mean of its divisors is an integer number (22912).

245823 is an apocalyptic number.

45823 is a deficient number, since it is larger than the sum of its proper divisors (1).

45823 is an equidigital number, since it uses as much as digits as its factorization.

45823 is an evil number, because the sum of its binary digits is even.

The product of its digits is 960, while the sum is 22.

The square root of 45823 is about 214.0630748167. The cubic root of 45823 is about 35.7844631561.

It can be divided in two parts, 45 and 823, that added together give a palindrome (868).

The spelling of 45823 in words is "forty-five thousand, eight hundred twenty-three".