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57085961 is a prime number
BaseRepresentation
bin1101100111000…
…1000000001001
310222102021012212
43121301000021
5104103222321
65355314505
71262136242
oct331610011
9128367185
1057085961
112a250589
121714ba35
13ba9979a
14781dcc9
15502955b
hex3671009

57085961 has 2 divisors, whose sum is σ = 57085962. Its totient is φ = 57085960.

The previous prime is 57085957. The next prime is 57085967. The reversal of 57085961 is 16958075.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40398736 + 16687225 = 6356^2 + 4085^2 .

It is a cyclic number.

It is not a de Polignac number, because 57085961 - 22 = 57085957 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57085967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28542980 + 28542981.

It is an arithmetic number, because the mean of its divisors is an integer number (28542981).

Almost surely, 257085961 is an apocalyptic number.

It is an amenable number.

57085961 is a deficient number, since it is larger than the sum of its proper divisors (1).

57085961 is an equidigital number, since it uses as much as digits as its factorization.

57085961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 57085961 is about 7555.5251968344. The cubic root of 57085961 is about 385.0434785327.

The spelling of 57085961 in words is "fifty-seven million, eighty-five thousand, nine hundred sixty-one".