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97288 = 2312161
BaseRepresentation
bin10111110000001000
311221110021
4113300020
511103123
62030224
7553432
oct276010
9157407
1097288
1167104
1248374
1335389
1427652
151dc5d
hex17c08

97288 has 8 divisors (see below), whose sum is σ = 182430. Its totient is φ = 48640.

The previous prime is 97283. The next prime is 97301. The reversal of 97288 is 88279.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 6084 = 302^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (97283) by changing a digit.

97288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073 + ... + 6088.

297288 is an apocalyptic number.

It is an amenable number.

97288 is a deficient number, since it is larger than the sum of its proper divisors (85142).

97288 is a wasteful number, since it uses less digits than its factorization.

97288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12167 (or 12163 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 97288 is about 311.9102434996. The cubic root of 97288 is about 45.9924373200.

Subtracting from 97288 its reverse (88279), we obtain a palindrome (9009).

The spelling of 97288 in words is "ninety-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 12161 24322 48644 97288