Search a number
-
+
1036147961 is a prime number
BaseRepresentation
bin111101110000100…
…101110011111001
32200012200202210102
4331300211303321
54110223213321
6250452125145
734451053352
oct7560456371
92605622712
101036147961
11491973332
1224b0067b5
13136885604
149b87ad29
1560e71c0b
hex3dc25cf9

1036147961 has 2 divisors, whose sum is σ = 1036147962. Its totient is φ = 1036147960.

The previous prime is 1036147949. The next prime is 1036147969. The reversal of 1036147961 is 1697416301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1026882025 + 9265936 = 32045^2 + 3044^2 .

It is a cyclic number.

It is not a de Polignac number, because 1036147961 - 26 = 1036147897 is a prime.

It is a super-3 number, since 3×10361479613 (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1036147969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518073980 + 518073981.

It is an arithmetic number, because the mean of its divisors is an integer number (518073981).

Almost surely, 21036147961 is an apocalyptic number.

It is an amenable number.

1036147961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1036147961 is an equidigital number, since it uses as much as digits as its factorization.

1036147961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 1036147961 is about 32189.2522591004. The cubic root of 1036147961 is about 1011.9069814180.

The spelling of 1036147961 in words is "one billion, thirty-six million, one hundred forty-seven thousand, nine hundred sixty-one".