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97792321 = 112292312
BaseRepresentation
bin1011101010000…
…11000101000001
320211000100211211
411311003011001
5200013323241
613412010121
72265135544
oct565030501
9224010754
1097792321
1150223900
1228900941
131734c9a3
14cdb885b
1588ba781
hex5d43141

97792321 has 27 divisors (see below), whose sum is σ = 115032099. Its totient is φ = 83067600.

The previous prime is 97792319. The next prime is 97792337. The reversal of 97792321 is 12329779.

The square root of 97792321 is 9889.

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

It can be written as a sum of positive squares in only one way, i.e., 51279921 + 46512400 = 7161^2 + 6820^2 .

It is not a de Polignac number, because 97792321 - 21 = 97792319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97792301) 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 26 ways as a sum of consecutive naturals, for example, 3154576 + ... + 3154606.

Almost surely, 297792321 is an apocalyptic number.

97792321 is the 9889-th square number.

97792321 is the 4945-th centered octagonal number.

It is an amenable number.

97792321 is a deficient number, since it is larger than the sum of its proper divisors (17239778).

97792321 is a wasteful number, since it uses less digits than its factorization.

97792321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The cubic root of 97792321 is about 460.7177217367.

It can be divided in two parts, 9779 and 2321, that added together give a square (12100 = 1102).

The spelling of 97792321 in words is "ninety-seven million, seven hundred ninety-two thousand, three hundred twenty-one".

Divisors: 1 11 29 31 121 319 341 841 899 961 3509 3751 9251 9889 10571 26071 27869 101761 108779 116281 286781 306559 808201 3154591 3372149 8890211 97792321