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61457677 is a prime number
BaseRepresentation
bin1110101001110…
…0010100001101
311021122101002021
43222130110031
5111213121202
610033130141
71344244621
oct352342415
9137571067
1061457677
1131767076
12186b9951
13c96a5b8
14823b181
1555dea37
hex3a9c50d

61457677 has 2 divisors, whose sum is σ = 61457678. Its totient is φ = 61457676.

The previous prime is 61457657. The next prime is 61457689. The reversal of 61457677 is 77675416.

61457677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58461316 + 2996361 = 7646^2 + 1731^2 .

It is a cyclic number.

It is not a de Polignac number, because 61457677 - 27 = 61457549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61457657) 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, 30728838 + 30728839.

It is an arithmetic number, because the mean of its divisors is an integer number (30728839).

Almost surely, 261457677 is an apocalyptic number.

It is an amenable number.

61457677 is a deficient number, since it is larger than the sum of its proper divisors (1).

61457677 is an equidigital number, since it uses as much as digits as its factorization.

61457677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 246960, while the sum is 43.

The square root of 61457677 is about 7839.4946903484. The cubic root of 61457677 is about 394.6317713465.

The spelling of 61457677 in words is "sixty-one million, four hundred fifty-seven thousand, six hundred seventy-seven".