Search a number
-
+
972259361 is a prime number
BaseRepresentation
bin111001111100111…
…000000000100001
32111202110220002222
4321330320000201
53442344244421
6240250520425
733044032253
oct7174700041
92452426088
10972259361
114598a6937
12231736115
131265766c8
14931a9cd3
155a551cab
hex39f38021

972259361 has 2 divisors, whose sum is σ = 972259362. Its totient is φ = 972259360.

The previous prime is 972259339. The next prime is 972259391. The reversal of 972259361 is 163952279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 690690961 + 281568400 = 26281^2 + 16780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-972259361 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972259391) 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, 486129680 + 486129681.

It is an arithmetic number, because the mean of its divisors is an integer number (486129681).

Almost surely, 2972259361 is an apocalyptic number.

It is an amenable number.

972259361 is a deficient number, since it is larger than the sum of its proper divisors (1).

972259361 is an equidigital number, since it uses as much as digits as its factorization.

972259361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 44.

The square root of 972259361 is about 31181.0737627812. The cubic root of 972259361 is about 990.6662729188. Note that the first 3 decimals are identical.

The spelling of 972259361 in words is "nine hundred seventy-two million, two hundred fifty-nine thousand, three hundred sixty-one".