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80973 = 332999
BaseRepresentation
bin10011110001001101
311010002000
4103301031
510042343
61422513
7455034
oct236115
9133060
1080973
1155922
123aa39
132ab19
142171b
1518ed3
hex13c4d

80973 has 8 divisors (see below), whose sum is σ = 120000. Its totient is φ = 53964.

The previous prime is 80963. The next prime is 80989. The reversal of 80973 is 37908.

It is a happy number.

It is not a de Polignac number, because 80973 - 26 = 80909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2999 = 80973 / (8 + 0 + 9 + 7 + 3).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (15000).

280973 is an apocalyptic number.

It is an amenable number.

80973 is a deficient number, since it is larger than the sum of its proper divisors (39027).

80973 is a wasteful number, since it uses less digits than its factorization.

80973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 80973 is about 284.5575512967. The cubic root of 80973 is about 43.2626790764.

It can be divided in two parts, 8097 and 3, that added together give a square (8100 = 902).

The spelling of 80973 in words is "eighty thousand, nine hundred seventy-three".

Divisors: 1 3 9 27 2999 8997 26991 80973