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45361 is a prime number
BaseRepresentation
bin1011000100110001
32022020001
423010301
52422421
6550001
7246151
oct130461
968201
1045361
1131098
1222301
1317854
1412761
15d691
hexb131

45361 has 2 divisors, whose sum is σ = 45362. Its totient is φ = 45360.

The previous prime is 45343. The next prime is 45377. The reversal of 45361 is 16354.

It can be divided in two parts, 45 and 361, that added together give a triangular number (406 = T28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 21025 = 156^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 45361 - 25 = 45329 is a prime.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (45341) 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, 22680 + 22681.

It is an arithmetic number, because the mean of its divisors is an integer number (22681).

45361 is a Friedman number, since it can be written as 35*6^4+1, using all its digits and the basic arithmetic operations.

245361 is an apocalyptic number.

It is an amenable number.

45361 is a deficient number, since it is larger than the sum of its proper divisors (1).

45361 is an equidigital number, since it uses as much as digits as its factorization.

45361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 45361 is about 212.9812198294. The cubic root of 45361 is about 35.6637937923.

The spelling of 45361 in words is "forty-five thousand, three hundred sixty-one".