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53784961 is a prime number
BaseRepresentation
bin1100110100101…
…1000110000001
310202012120002121
43031023012001
5102232104321
65200444241
71222110316
oct315130601
9122176077
1053784961
11283a648a
1216019681
13b1b2129
147200d0d
154ac6441
hex334b181

53784961 has 2 divisors, whose sum is σ = 53784962. Its totient is φ = 53784960.

The previous prime is 53784919. The next prime is 53784979. The reversal of 53784961 is 16948735.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34292736 + 19492225 = 5856^2 + 4415^2 .

It is a cyclic number.

It is not a de Polignac number, because 53784961 - 211 = 53782913 is a prime.

It is not a weakly prime, because it can be changed into another prime (53784901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26892480 + 26892481.

It is an arithmetic number, because the mean of its divisors is an integer number (26892481).

Almost surely, 253784961 is an apocalyptic number.

It is an amenable number.

53784961 is a deficient number, since it is larger than the sum of its proper divisors (1).

53784961 is an equidigital number, since it uses as much as digits as its factorization.

53784961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 43.

The square root of 53784961 is about 7333.8230821312. The cubic root of 53784961 is about 377.4739212720.

It can be divided in two parts, 53784 and 961, that added together give a palindrome (54745).

The spelling of 53784961 in words is "fifty-three million, seven hundred eighty-four thousand, nine hundred sixty-one".