Search a number
-
+
83000461 is a prime number
BaseRepresentation
bin1001111001001…
…11110010001101
312210011212020011
410330213302031
5132222003321
612122553221
72025330565
oct474476215
9183155204
1083000461
1142940525
1223968811
1314270ccb
14b047da5
157447ae1
hex4f27c8d

83000461 has 2 divisors, whose sum is σ = 83000462. Its totient is φ = 83000460.

The previous prime is 83000459. The next prime is 83000483. The reversal of 83000461 is 16400038.

It is an a-pointer prime, because the next prime (83000483) can be obtained adding 83000461 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82919236 + 81225 = 9106^2 + 285^2 .

It is a cyclic number.

It is not a de Polignac number, because 83000461 - 21 = 83000459 is a prime.

Together with 83000459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83000861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41500230 + 41500231.

It is an arithmetic number, because the mean of its divisors is an integer number (41500231).

Almost surely, 283000461 is an apocalyptic number.

It is an amenable number.

83000461 is a deficient number, since it is larger than the sum of its proper divisors (1).

83000461 is an equidigital number, since it uses as much as digits as its factorization.

83000461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 83000461 is about 9110.4588797711. The cubic root of 83000461 is about 436.2078747402.

Adding to 83000461 its reverse (16400038), we get a palindrome (99400499).

The spelling of 83000461 in words is "eighty-three million, four hundred sixty-one", and thus it is an aban number.