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97357689 = 32112132232
BaseRepresentation
bin1011100110110…
…00111101111001
320210012021122100
411303120331321
5144410421224
613354414013
72261345442
oct563307571
9223167570
1097357689
114aa57300
1228731309
1317229c00
14cd042c9
158831ac9
hex5cd8f79

97357689 has 81 divisors (see below), whose sum is σ = 174973071. Its totient is φ = 52097760.

The previous prime is 97357679. The next prime is 97357699. The reversal of 97357689 is 98675379.

The square root of 97357689 is 9867.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (97357679) and next prime (97357699).

It can be written as a sum of positive squares in only one way, i.e., 14402025 + 82955664 = 3795^2 + 9108^2 .

It is not a de Polignac number, because 97357689 - 29 = 97357177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97357609) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 4232932 + ... + 4232954.

Almost surely, 297357689 is an apocalyptic number.

97357689 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

97357689 is the 9867-th square number.

97357689 is the 4934-th centered octagonal number.

It is an amenable number.

97357689 is a deficient number, since it is larger than the sum of its proper divisors (77615382).

97357689 is a wasteful number, since it uses less digits than its factorization.

97357689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The cubic root of 97357689 is about 460.0341641292.

It can be divided in two parts, 9735 and 7689, that added together give a square (17424 = 1322).

The spelling of 97357689 in words is "ninety-seven million, three hundred fifty-seven thousand, six hundred eighty-nine".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 121 143 169 207 253 299 363 429 507 529 759 897 1089 1287 1521 1573 1587 1859 2277 2691 2783 3289 3887 4719 4761 5577 5819 6877 8349 9867 11661 14157 16731 17457 20449 20631 25047 29601 34983 36179 42757 52371 61347 61893 64009 75647 89401 108537 128271 184041 192027 226941 268203 325611 384813 470327 576081 680823 804609 832117 983411 1410981 2496351 2950233 4232943 7489053 8850699 10817521 32452563 97357689