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32730461 is a prime number
BaseRepresentation
bin111110011011…
…0110101011101
32021120212202022
41330312311131
531334333321
63125305525
7545130041
oct174666535
967525668
1032730461
1117525975
12ab652a5
136a1ca4a
1444c0021
152d17dab
hex1f36d5d

32730461 has 2 divisors, whose sum is σ = 32730462. Its totient is φ = 32730460.

The previous prime is 32730443. The next prime is 32730479. The reversal of 32730461 is 16403723.

It is a balanced prime because it is at equal distance from previous prime (32730443) and next prime (32730479).

It can be written as a sum of positive squares in only one way, i.e., 32137561 + 592900 = 5669^2 + 770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32730461 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32730461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32730431) 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, 16365230 + 16365231.

It is an arithmetic number, because the mean of its divisors is an integer number (16365231).

Almost surely, 232730461 is an apocalyptic number.

It is an amenable number.

32730461 is a deficient number, since it is larger than the sum of its proper divisors (1).

32730461 is an equidigital number, since it uses as much as digits as its factorization.

32730461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 32730461 is about 5721.0541860745. The cubic root of 32730461 is about 319.8777560416.

The spelling of 32730461 in words is "thirty-two million, seven hundred thirty thousand, four hundred sixty-one".