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84125973 = 32341131227
BaseRepresentation
bin1010000001110…
…10100100010101
312212022001010210
411000322210111
5133014012343
612203040033
72041026141
oct500724425
9185261123
1084125973
114353a0a8
1224210019
13145763a9
14b25c221
1575bb333
hex503a915

84125973 has 32 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 51708800.

The previous prime is 84125969. The next prime is 84125989. The reversal of 84125973 is 37952148.

It is a cyclic number.

It is not a de Polignac number, because 84125973 - 22 = 84125969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84125953) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 370486 + ... + 370712.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 284125973 is an apocalyptic number.

It is an amenable number.

84125973 is a deficient number, since it is larger than the sum of its proper divisors (37221099).

84125973 is a wasteful number, since it uses less digits than its factorization.

84125973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its digits is 60480, while the sum is 39.

The square root of 84125973 is about 9172.0212058194. The cubic root of 84125973 is about 438.1707336724.

The spelling of 84125973 in words is "eighty-four million, one hundred twenty-five thousand, nine hundred seventy-three".

Divisors: 1 3 23 41 69 123 131 227 393 681 943 2829 3013 5221 5371 9039 9307 15663 16113 27921 29737 89211 123533 214061 370599 642183 683951 1219217 2051853 3657651 28041991 84125973