Search a number
-
+
972532741 is a prime number
BaseRepresentation
bin111001111101111…
…010110000000101
32111202222210010011
4321331322300011
53442432021431
6240300430221
733046251265
oct7175726005
92452883104
10972532741
11459a73274
12231848371
13126640c7b
149323b7a5
155a5a7cb1
hex39f7ac05

972532741 has 2 divisors, whose sum is σ = 972532742. Its totient is φ = 972532740.

The previous prime is 972532733. The next prime is 972532747. The reversal of 972532741 is 147235279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 495285025 + 477247716 = 22255^2 + 21846^2 .

It is an emirp because it is prime and its reverse (147235279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972532741 - 23 = 972532733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972532694 and 972532703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972532747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486266370 + 486266371.

It is an arithmetic number, because the mean of its divisors is an integer number (486266371).

Almost surely, 2972532741 is an apocalyptic number.

It is an amenable number.

972532741 is a deficient number, since it is larger than the sum of its proper divisors (1).

972532741 is an equidigital number, since it uses as much as digits as its factorization.

972532741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 40.

The square root of 972532741 is about 31185.4572036390. The cubic root of 972532741 is about 990.7591161033.

The spelling of 972532741 in words is "nine hundred seventy-two million, five hundred thirty-two thousand, seven hundred forty-one".