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97123284 = 22322697869
BaseRepresentation
bin1011100100111…
…11101111010100
320202202101002200
411302133233110
5144330421114
613345404500
72256351156
oct562375724
9222671080
1097123284
114a907185
1228639730
13171772cb
14cc82ad6
1587d7409
hex5c9fbd4

97123284 has 18 divisors (see below), whose sum is σ = 245506170. Its totient is φ = 32374416.

The previous prime is 97123277. The next prime is 97123289. The reversal of 97123284 is 48232179.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 3459600 = 9678^2 + 1860^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2697869 = 97123284 / (9 + 7 + 1 + 2 + 3 + 2 + 8 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97123289) 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 5 ways as a sum of consecutive naturals, for example, 1348899 + ... + 1348970.

Almost surely, 297123284 is an apocalyptic number.

It is an amenable number.

97123284 is an abundant number, since it is smaller than the sum of its proper divisors (148382886).

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

97123284 is a wasteful number, since it uses less digits than its factorization.

97123284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697879 (or 2697874 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 97123284 is about 9855.1146112057. The cubic root of 97123284 is about 459.6646642354.

It can be divided in two parts, 9712 and 3284, that added together give a square (12996 = 1142).

The spelling of 97123284 in words is "ninety-seven million, one hundred twenty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2697869 5395738 8093607 10791476 16187214 24280821 32374428 48561642 97123284