Search a number
-
+
61345733 is a prime number
BaseRepresentation
bin1110101000000…
…0111111000101
311021102200112012
43222000333011
5111201030413
610030504005
71343300351
oct352007705
9137380465
1061345733
113169aa59
1218665005
13c92b667
14820c461
1555bb7a8
hex3a80fc5

61345733 has 2 divisors, whose sum is σ = 61345734. Its totient is φ = 61345732.

The previous prime is 61345727. The next prime is 61345777. The reversal of 61345733 is 33754316.

61345733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59320804 + 2024929 = 7702^2 + 1423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61345733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61345733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61345033) 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, 30672866 + 30672867.

It is an arithmetic number, because the mean of its divisors is an integer number (30672867).

Almost surely, 261345733 is an apocalyptic number.

It is an amenable number.

61345733 is a deficient number, since it is larger than the sum of its proper divisors (1).

61345733 is an equidigital number, since it uses as much as digits as its factorization.

61345733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 32.

The square root of 61345733 is about 7832.3516902652. The cubic root of 61345733 is about 394.3920209434.

The spelling of 61345733 in words is "sixty-one million, three hundred forty-five thousand, seven hundred thirty-three".