Search a number
-
+
83003 is a prime number
BaseRepresentation
bin10100010000111011
311012212012
4110100323
510124003
61440135
7463664
oct242073
9135765
1083003
11573a8
124004b
132ba1b
142236b
15198d8
hex1443b

83003 has 2 divisors, whose sum is σ = 83004. Its totient is φ = 83002.

The previous prime is 82997. The next prime is 83009. The reversal of 83003 is 30038.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (82997) and next prime (83009).

It is a cyclic number.

It is not a de Polignac number, because 83003 - 26 = 82939 is a prime.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (83009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41501 + 41502.

It is an arithmetic number, because the mean of its divisors is an integer number (41502).

283003 is an apocalyptic number.

83003 is a deficient number, since it is larger than the sum of its proper divisors (1).

83003 is an equidigital number, since it uses as much as digits as its factorization.

83003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 83003 is about 288.1024123467. The cubic root of 83003 is about 43.6212322589.

The spelling of 83003 in words is "eighty-three thousand, three".