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84975 = 35211103
BaseRepresentation
bin10100101111101111
311022120020
4110233233
510204400
61453223
7502512
oct245757
9138506
1084975
1158930
1241213
132c8a7
1422d79
151a2a0
hex14bef

84975 has 24 divisors (see below), whose sum is σ = 154752. Its totient is φ = 40800.

The previous prime is 84967. The next prime is 84977. The reversal of 84975 is 57948.

It is not a de Polignac number, because 84975 - 23 = 84967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

84975 is a lucky number.

It is a plaindrome in base 16.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

284975 is an apocalyptic number.

84975 is a deficient number, since it is larger than the sum of its proper divisors (69777).

84975 is a wasteful number, since it uses less digits than its factorization.

84975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 84975 is about 291.5047169430. The cubic root of 84975 is about 43.9639856816.

The spelling of 84975 in words is "eighty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 103 165 275 309 515 825 1133 1545 2575 3399 5665 7725 16995 28325 84975