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84975345 = 3357136917
BaseRepresentation
bin1010001000010…
…01111011110001
312220220012021000
411010021323301
5133223202340
612233152213
72051164350
oct504117361
9186805230
1084975345
1143a6a264
122455b669
13147b2b90
14b3dd997
1576d7d30
hex5109ef1

84975345 has 64 divisors (see below), whose sum is σ = 185955840. Its totient is φ = 35852544.

The previous prime is 84975283. The next prime is 84975349. The reversal of 84975345 is 54357948.

It is not a de Polignac number, because 84975345 - 29 = 84974833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 84975345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84975349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8827 + ... + 15743.

It is an arithmetic number, because the mean of its divisors is an integer number (2905560).

Almost surely, 284975345 is an apocalyptic number.

It is an amenable number.

84975345 is an abundant number, since it is smaller than the sum of its proper divisors (100980495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84975345 is a wasteful number, since it uses less digits than its factorization.

84975345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6945 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 84975345 is about 9218.2072552097. The cubic root of 84975345 is about 439.6404517968.

The spelling of 84975345 in words is "eighty-four million, nine hundred seventy-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 6917 12285 20751 34585 48419 62253 89921 103755 145257 186759 242095 269763 311265 435771 449605 629447 726285 809289 933795 1307313 1348815 1888341 2178855 2427867 3147235 4046445 5665023 6536565 9441705 12139335 16995069 28325115 84975345