Search a number
-
+
972407353 is a prime number
BaseRepresentation
bin111001111101011…
…100001000111001
32111202202102010011
4321331130020321
53442414013403
6240254021521
733045216601
oct7175341071
92452672104
10972407353
11459998045
122317a78a1
131265c8b88
1493207c01
155a580a6d
hex39f5c239

972407353 has 2 divisors, whose sum is σ = 972407354. Its totient is φ = 972407352.

The previous prime is 972407351. The next prime is 972407399. The reversal of 972407353 is 353704279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 699761209 + 272646144 = 26453^2 + 16512^2 .

It is an emirp because it is prime and its reverse (353704279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972407353 - 21 = 972407351 is a prime.

Together with 972407351, it forms a pair of twin primes.

It is equal to p49515169 and since 972407353 and 49515169 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (972407351) 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, 486203676 + 486203677.

It is an arithmetic number, because the mean of its divisors is an integer number (486203677).

Almost surely, 2972407353 is an apocalyptic number.

It is an amenable number.

972407353 is a deficient number, since it is larger than the sum of its proper divisors (1).

972407353 is an equidigital number, since it uses as much as digits as its factorization.

972407353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 972407353 is about 31183.4467786998. The cubic root of 972407353 is about 990.7165349684.

The spelling of 972407353 in words is "nine hundred seventy-two million, four hundred seven thousand, three hundred fifty-three".