Search a number
-
+
147706033 is a prime number
BaseRepresentation
bin10001100110111…
…01000010110001
3101021221020120211
420303131002301
5300303043113
622353504121
73442323556
oct1063350261
9337836524
10147706033
1176415802
1241572041
13247a7a27
141588ca2d
15ce79b3d
hex8cdd0b1

147706033 has 2 divisors, whose sum is σ = 147706034. Its totient is φ = 147706032.

The previous prime is 147706001. The next prime is 147706049. The reversal of 147706033 is 330607741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145371249 + 2334784 = 12057^2 + 1528^2 .

It is an emirp because it is prime and its reverse (330607741) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 147706033 - 25 = 147706001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 147705986 and 147706004.

It is not a weakly prime, because it can be changed into another prime (147706093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73853016 + 73853017.

It is an arithmetic number, because the mean of its divisors is an integer number (73853017).

Almost surely, 2147706033 is an apocalyptic number.

It is an amenable number.

147706033 is a deficient number, since it is larger than the sum of its proper divisors (1).

147706033 is an equidigital number, since it uses as much as digits as its factorization.

147706033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 147706033 is about 12153.4370858618. The cubic root of 147706033 is about 528.6067989792.

The spelling of 147706033 in words is "one hundred forty-seven million, seven hundred six thousand, thirty-three".