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83065825 = 5217211497
BaseRepresentation
bin1001111001101…
…11101111100001
312210022011220001
410330313233201
5132231101300
612124220001
72026022263
oct474675741
9183264801
1083065825
1142985647
122399a601
131429499b
14b063b33
15745c16a
hex4f37be1

83065825 has 18 divisors (see below), whose sum is σ = 109426466. Its totient is φ = 62538240.

The previous prime is 83065813. The next prime is 83065837. The reversal of 83065825 is 52856038.

It is an interprime number because it is at equal distance from previous prime (83065813) and next prime (83065837).

It can be written as a sum of positive squares in 9 ways, for example, as 2927521 + 80138304 = 1711^2 + 8952^2 .

It is not a de Polignac number, because 83065825 - 213 = 83057633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1477 + ... + 12973.

Almost surely, 283065825 is an apocalyptic number.

83065825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83065825 is a deficient number, since it is larger than the sum of its proper divisors (26360641).

83065825 is a wasteful number, since it uses less digits than its factorization.

83065825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 83065825 is about 9114.0454793686. The cubic root of 83065825 is about 436.3223512537.

The spelling of 83065825 in words is "eighty-three million, sixty-five thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 7225 11497 57485 195449 287425 977245 3322633 4886225 16613165 83065825