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84973 = 761199
BaseRepresentation
bin10100101111101101
311022120011
4110233231
510204343
61453221
7502510
oct245755
9138504
1084973
1158929
1241211
132c8a5
1422d77
151a29d
hex14bed

84973 has 8 divisors (see below), whose sum is σ = 99200. Its totient is φ = 71280.

The previous prime is 84967. The next prime is 84977. The reversal of 84973 is 37948.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84973 - 213 = 76781 is a prime.

It is the 292-nd Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84977) by changing a digit.

It is a nontrivial repunit in base 291.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

284973 is an apocalyptic number.

It is an amenable number.

84973 is a deficient number, since it is larger than the sum of its proper divisors (14227).

84973 is a wasteful number, since it uses less digits than its factorization.

84973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

The product of its digits is 6048, while the sum is 31.

The square root of 84973 is about 291.5012864466. The cubic root of 84973 is about 43.9636407619.

The spelling of 84973 in words is "eighty-four thousand, nine hundred seventy-three".

Divisors: 1 7 61 199 427 1393 12139 84973