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9797172 = 22371123461
BaseRepresentation
bin100101010111…
…111000110100
3200102202012020
4211113320310
510002002142
6545553140
7146163120
oct45277064
920382166
109797172
115591840
1233457b0
132050458
141430580
15cd7cec
hex957e34

9797172 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 2428800.

The previous prime is 9797171. The next prime is 9797173. The reversal of 9797172 is 2717979.

It is an interprime number because it is at equal distance from previous prime (9797171) and next prime (9797173).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9797171) 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, 21022 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 29797172 is an apocalyptic number.

9797172 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9797172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

9797172 is an abundant number, since it is smaller than the sum of its proper divisors (20007372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9797172 is a wasteful number, since it uses less digits than its factorization.

9797172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its digits is 55566, while the sum is 42.

The square root of 9797172 is about 3130.0434501776. The cubic root of 9797172 is about 213.9769096116.

The spelling of 9797172 in words is "nine million, seven hundred ninety-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 461 462 483 506 644 759 922 924 966 1012 1383 1518 1771 1844 1932 2766 3036 3227 3542 5071 5313 5532 6454 7084 9681 10142 10603 10626 12908 15213 19362 20284 21206 21252 30426 31809 35497 38724 42412 60852 63618 70994 74221 106491 116633 127236 141988 148442 212982 222663 233266 296884 349899 425964 445326 466532 699798 816431 890652 1399596 1632862 2449293 3265724 4898586 9797172