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97264125 = 3353723179
BaseRepresentation
bin1011100110000…
…10000111111101
320210000112022000
411303002013331
5144344423000
613352412513
72260505610
oct563020775
9223015260
1097264125
114a9a2a82
12286a7139
13171c644a
14ccbc177
158814000
hex5cc21fd

97264125 has 128 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 42292800.

The previous prime is 97264117. The next prime is 97264129. The reversal of 97264125 is 52146279.

97264125 is a `hidden beast` number, since 9 + 7 + 2 + 641 + 2 + 5 = 666.

It is not a de Polignac number, because 97264125 - 23 = 97264117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97264125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97264129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 543286 + ... + 543464.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 297264125 is an apocalyptic number.

It is an amenable number.

97264125 is an abundant number, since it is smaller than the sum of its proper divisors (118390275).

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

97264125 is a wasteful number, since it uses less digits than its factorization.

97264125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 97264125 is about 9862.2576015839. The cubic root of 97264125 is about 459.8867474817.

The spelling of 97264125 in words is "ninety-seven million, two hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 27 35 45 63 69 75 105 115 125 135 161 175 179 189 207 225 315 345 375 483 525 537 575 621 675 805 875 895 945 1035 1125 1253 1449 1575 1611 1725 2415 2625 2685 2875 3105 3375 3759 4025 4117 4347 4475 4725 4833 5175 6265 7245 7875 8055 8625 11277 12075 12351 13425 15525 18795 20125 20585 21735 22375 23625 24165 25875 28819 31325 33831 36225 37053 40275 56385 60375 61755 67125 77625 86457 93975 102925 108675 111159 120825 144095 156625 169155 181125 185265 201375 259371 281925 308775 432285 469875 514625 543375 555795 604125 720475 778113 845775 926325 1296855 1409625 1543875 2161425 2778975 3602375 3890565 4228875 4631625 6484275 10807125 13894875 19452825 32421375 97264125