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81197973 = 327321693
BaseRepresentation
bin1001101011011…
…11101110010101
312122210021200100
410311233232111
5131241313343
612020204313
72004112533
oct465575625
9178707610
1081197973
114191a26a
1223239699
1313a8c74c
14aad9153
1571dd9d3
hex4d6fb95

81197973 has 18 divisors (see below), whose sum is σ = 118984866. Its totient is φ = 53358912.

The previous prime is 81197957. The next prime is 81197989. The reversal of 81197973 is 37979118.

It is an interprime number because it is at equal distance from previous prime (81197957) and next prime (81197989).

It can be written as a sum of positive squares in 3 ways, for example, as 12341169 + 68856804 = 3513^2 + 8298^2 .

It is not a de Polignac number, because 81197973 - 24 = 81197957 is a prime.

It is a super-2 number, since 2×811979732 = 13186221638617458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81197953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47115 + ... + 48807.

Almost surely, 281197973 is an apocalyptic number.

It is an amenable number.

81197973 is a deficient number, since it is larger than the sum of its proper divisors (37786893).

81197973 is a wasteful number, since it uses less digits than its factorization.

81197973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1769 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The square root of 81197973 is about 9010.9917878112. The cubic root of 81197973 is about 433.0270861170.

The spelling of 81197973 in words is "eighty-one million, one hundred ninety-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 73 219 657 1693 5079 5329 15237 15987 47961 123589 370767 1112301 9021997 27065991 81197973