| Base | Representation |
|---|---|
| bin | 1011100101010… |
| … | …11101001100000 |
| 3 | 20202211212000100 |
| 4 | 11302223221200 |
| 5 | 144334001224 |
| 6 | 13350422400 |
| 7 | 2256643323 |
| oct | 562535140 |
| 9 | 222755010 |
| 10 | 97172064 |
| 11 | 4a93a8a0 |
| 12 | 28661a00 |
| 13 | 17193582 |
| 14 | cc967ba |
| 15 | 87e6ac9 |
| hex | 5caba60 |
97172064 has 144 divisors (see below), whose sum is σ = 309975120. Its totient is φ = 28615680.
The previous prime is 97172029. The next prime is 97172081. The reversal of 97172064 is 46027179.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×971720643 (a number of 25 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 116802 + ... + 117630.
It is an arithmetic number, because the mean of its divisors is an integer number (2152605).
Almost surely, 297172064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 97172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154987560).
97172064 is an abundant number, since it is smaller than the sum of its proper divisors (212803056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97172064 is a wasteful number, since it uses less digits than its factorization.
97172064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 893 (or 882 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 97172064 is about 9857.5891575983. The cubic root of 97172064 is about 459.7416066140.
It can be divided in two parts, 9717 and 2064, that added together give a triangular number (11781 = T153).
The spelling of 97172064 in words is "ninety-seven million, one hundred seventy-two thousand, sixty-four".
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