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9997305 = 35976871
BaseRepresentation
bin100110001000…
…101111111001
3200210220201120
4212020233321
510024403210
6554135453
7150655443
oct46105771
920726646
109997305
11570913a
123421589
1320c0586
141483493
15d27270
hex988bf9

9997305 has 16 divisors (see below), whose sum is σ = 16162944. Its totient is φ = 5276160.

The previous prime is 9997303. The next prime is 9997319. The reversal of 9997305 is 5037999.

It is a happy number.

It is not a de Polignac number, because 9997305 - 21 = 9997303 is a prime.

It is a super-2 number, since 2×99973052 = 199892214526050, which contains 22 as substring.

9997305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9997303) 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 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 4890.

It is an arithmetic number, because the mean of its divisors is an integer number (1010184).

Almost surely, 29997305 is an apocalyptic number.

It is an amenable number.

9997305 is a deficient number, since it is larger than the sum of its proper divisors (6165639).

9997305 is a wasteful number, since it uses less digits than its factorization.

9997305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976.

The product of its (nonzero) digits is 76545, while the sum is 42.

The square root of 9997305 is about 3161.8515145402. The cubic root of 9997305 is about 215.4241132593.

The spelling of 9997305 in words is "nine million, nine hundred ninety-seven thousand, three hundred five".

Divisors: 1 3 5 15 97 291 485 1455 6871 20613 34355 103065 666487 1999461 3332435 9997305