Search a number
-
+
32973361 is a prime number
BaseRepresentation
bin111110111001…
…0001000110001
32022001012221121
41331302020301
531420121421
63134422241
7550161151
oct175621061
968035847
1032973361
1117681413
12b061981
136aa6485
144544761
152d64d41
hex1f72231

32973361 has 2 divisors, whose sum is σ = 32973362. Its totient is φ = 32973360.

The previous prime is 32973359. The next prime is 32973371. The reversal of 32973361 is 16337923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17172736 + 15800625 = 4144^2 + 3975^2 .

It is a cyclic number.

It is not a de Polignac number, because 32973361 - 21 = 32973359 is a prime.

Together with 32973359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (32973301) 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, 16486680 + 16486681.

It is an arithmetic number, because the mean of its divisors is an integer number (16486681).

Almost surely, 232973361 is an apocalyptic number.

It is an amenable number.

32973361 is a deficient number, since it is larger than the sum of its proper divisors (1).

32973361 is an equidigital number, since it uses as much as digits as its factorization.

32973361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 34.

The square root of 32973361 is about 5742.2435510870. The cubic root of 32973361 is about 320.6671011722.

The spelling of 32973361 in words is "thirty-two million, nine hundred seventy-three thousand, three hundred sixty-one".