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61187461 is a prime number
BaseRepresentation
bin1110100101101…
…0010110000101
311021010122102021
43221122112011
5111130444321
610023243141
71342041046
oct351322605
9137118367
1061187461
11315a2055
12185a94b1
13c8a45ca
1481aa8cd
155589941
hex3a5a585

61187461 has 2 divisors, whose sum is σ = 61187462. Its totient is φ = 61187460.

The previous prime is 61187449. The next prime is 61187473. The reversal of 61187461 is 16478116.

61187461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (61187449) and next prime (61187473).

It can be written as a sum of positive squares in only one way, i.e., 32092225 + 29095236 = 5665^2 + 5394^2 .

It is a cyclic number.

It is not a de Polignac number, because 61187461 - 27 = 61187333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61187761) 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, 30593730 + 30593731.

It is an arithmetic number, because the mean of its divisors is an integer number (30593731).

Almost surely, 261187461 is an apocalyptic number.

It is an amenable number.

61187461 is a deficient number, since it is larger than the sum of its proper divisors (1).

61187461 is an equidigital number, since it uses as much as digits as its factorization.

61187461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 61187461 is about 7822.2414306898. The cubic root of 61187461 is about 394.0525516752.

The spelling of 61187461 in words is "sixty-one million, one hundred eighty-seven thousand, four hundred sixty-one".