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9865625 = 5571141
BaseRepresentation
bin100101101000…
…100110011001
3200120020002112
4211220212121
510011200000
6551242105
7146566520
oct45504631
920506075
109865625
115629210
123379335
132075663
14144b4b7
15ced235
hex968999

9865625 has 48 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 6000000.

The previous prime is 9865621. The next prime is 9865633. The reversal of 9865625 is 5265689.

It is not a de Polignac number, because 9865625 - 22 = 9865621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Leyland number of the form 105 + 510.

Its product of digits (129600) is a multiple of the sum of its prime divisors (64).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9865621) 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 47 ways as a sum of consecutive naturals, for example, 240605 + ... + 240645.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 29865625 is an apocalyptic number.

It is an amenable number.

9865625 is a deficient number, since it is larger than the sum of its proper divisors (5883367).

9865625 is an equidigital number, since it uses as much as digits as its factorization.

9865625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 9865625 is about 3140.9592483826. The cubic root of 9865625 is about 214.4741068101.

The spelling of 9865625 in words is "nine million, eight hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 41 55 77 125 175 205 275 287 385 451 625 875 1025 1375 1435 1925 2255 3125 3157 4375 5125 6875 7175 9625 11275 15785 21875 25625 34375 35875 48125 56375 78925 128125 179375 240625 281875 394625 896875 1409375 1973125 9865625