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84971525 = 5217199933
BaseRepresentation
bin1010001000010…
…01000000000101
312220220000000112
411010021000011
5133223042100
612233122405
72051150252
oct504110005
9186800015
1084971525
1143a67401
1224559405
13147b1212
14b3dc429
1576d6b35
hex5109005

84971525 has 12 divisors (see below), whose sum is σ = 111563172. Its totient is φ = 63978240.

The previous prime is 84971521. The next prime is 84971567. The reversal of 84971525 is 52517948.

It is a Cunningham number, because it is equal to 92182+1.

It can be written as a sum of positive squares in 6 ways, for example, as 6666724 + 78304801 = 2582^2 + 8849^2 .

It is not a de Polignac number, because 84971525 - 22 = 84971521 is a prime.

It is a super-3 number, since 3×849715253 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84971521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99542 + ... + 100391.

It is an arithmetic number, because the mean of its divisors is an integer number (9296931).

Almost surely, 284971525 is an apocalyptic number.

84971525 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

84971525 is a deficient number, since it is larger than the sum of its proper divisors (26591647).

84971525 is a wasteful number, since it uses less digits than its factorization.

84971525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199960 (or 199955 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 84971525 is about 9218.0000542417. Note that the first 4 decimals coincide. The cubic root of 84971525 is about 439.6338638009.

The spelling of 84971525 in words is "eighty-four million, nine hundred seventy-one thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 425 199933 999665 3398861 4998325 16994305 84971525