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54605137 is a prime number
BaseRepresentation
bin1101000001001…
…1010101010001
310210202020011111
43100103111101
5102434331022
65230213321
71232064436
oct320232521
9123666144
1054605137
1128906714
1216354241
13b40b542
147375b8d
154bd9477
hex3413551

54605137 has 2 divisors, whose sum is σ = 54605138. Its totient is φ = 54605136.

The previous prime is 54605129. The next prime is 54605143. The reversal of 54605137 is 73150645.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39050001 + 15555136 = 6249^2 + 3944^2 .

It is a cyclic number.

It is not a de Polignac number, because 54605137 - 23 = 54605129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54605099 and 54605108.

It is not a weakly prime, because it can be changed into another prime (54605147) 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, 27302568 + 27302569.

It is an arithmetic number, because the mean of its divisors is an integer number (27302569).

Almost surely, 254605137 is an apocalyptic number.

It is an amenable number.

54605137 is a deficient number, since it is larger than the sum of its proper divisors (1).

54605137 is an equidigital number, since it uses as much as digits as its factorization.

54605137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 54605137 is about 7389.5288753749. The cubic root of 54605137 is about 379.3829713971.

The spelling of 54605137 in words is "fifty-four million, six hundred five thousand, one hundred thirty-seven".