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9975285 = 335193889
BaseRepresentation
bin100110000011…
…010111110101
3200202210112000
4212003113311
510023202120
6553445513
7150534315
oct46032765
920683460
109975285
1156a3641
123410899
1320b3548
141479445
15d20990
hex9835f5

9975285 has 32 divisors (see below), whose sum is σ = 18672000. Its totient is φ = 5038848.

The previous prime is 9975281. The next prime is 9975299. The reversal of 9975285 is 5825799.

It is a happy number.

It is not a de Polignac number, because 9975285 - 22 = 9975281 is a prime.

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

It is a d-powerful number, because it can be written as 9 + 9 + 78 + 52 + 222 + 83 + 56 .

It is a self number, because there is not a number n which added to its sum of digits gives 9975285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975281) 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 31 ways as a sum of consecutive naturals, for example, 621 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (583500).

Almost surely, 29975285 is an apocalyptic number.

9975285 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9975285 is a deficient number, since it is larger than the sum of its proper divisors (8696715).

9975285 is a wasteful number, since it uses less digits than its factorization.

9975285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3916 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9975285 is about 3158.3674580390. The cubic root of 9975285 is about 215.2658330691.

The spelling of 9975285 in words is "nine million, nine hundred seventy-five thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2565 3889 11667 19445 35001 58335 73891 105003 175005 221673 369455 525015 665019 1108365 1995057 3325095 9975285