Search a number
-
+
462073 is a prime number
BaseRepresentation
bin1110000110011111001
3212110211211
41300303321
5104241243
613523121
73633103
oct1606371
9773754
10462073
11296187
121a34a1
13132421
14c0573
1591d9d
hex70cf9

462073 has 2 divisors, whose sum is σ = 462074. Its totient is φ = 462072.

The previous prime is 462067. The next prime is 462079. The reversal of 462073 is 370264.

It is a balanced prime because it is at equal distance from previous prime (462067) and next prime (462079).

It can be written as a sum of positive squares in only one way, i.e., 243049 + 219024 = 493^2 + 468^2 .

It is a cyclic number.

It is not a de Polignac number, because 462073 - 25 = 462041 is a prime.

It is a super-2 number, since 2×4620732 = 427022914658, which contains 22 as substring.

It is an Ulam number.

462073 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231036 + 231037.

It is an arithmetic number, because the mean of its divisors is an integer number (231037).

2462073 is an apocalyptic number.

It is an amenable number.

462073 is a deficient number, since it is larger than the sum of its proper divisors (1).

462073 is an equidigital number, since it uses as much as digits as its factorization.

462073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 462073 is about 679.7595162997. The cubic root of 462073 is about 77.3102119906.

Subtracting from 462073 its reverse (370264), we obtain a square (91809 = 3032).

The spelling of 462073 in words is "four hundred sixty-two thousand, seventy-three".