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85149541 is a prime number
BaseRepresentation
bin1010001001101…
…00011101100101
312221020001012201
411010310131211
5133244241131
612241014501
72052521251
oct504643545
9187201181
1085149541
1144079124
1224624431
1314844259
14b447261
15771e761
hex5134765

85149541 has 2 divisors, whose sum is σ = 85149542. Its totient is φ = 85149540.

The previous prime is 85149527. The next prime is 85149569. The reversal of 85149541 is 14594158.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66357316 + 18792225 = 8146^2 + 4335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85149541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85149541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85149521) 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, 42574770 + 42574771.

It is an arithmetic number, because the mean of its divisors is an integer number (42574771).

Almost surely, 285149541 is an apocalyptic number.

It is an amenable number.

85149541 is a deficient number, since it is larger than the sum of its proper divisors (1).

85149541 is an equidigital number, since it uses as much as digits as its factorization.

85149541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28800, while the sum is 37.

The square root of 85149541 is about 9227.6508928329. The cubic root of 85149541 is about 439.9406617639.

The spelling of 85149541 in words is "eighty-five million, one hundred forty-nine thousand, five hundred forty-one".