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97653125 = 5531249
BaseRepresentation
bin1011101001000…
…01000110000101
320210202021220102
411310201012011
5144444400000
613405013445
72264015663
oct564410605
9223667812
1097653125
1150139269
1228854285
131730151b
14cd7dc33
15888e3d5
hex5d21185

97653125 has 12 divisors (see below), whose sum is σ = 122062500. Its totient is φ = 78120000.

The previous prime is 97653119. The next prime is 97653197. The reversal of 97653125 is 52135679.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 74632321 + 23020804 = 8639^2 + 4798^2 .

It is not a de Polignac number, because 97653125 - 24 = 97653109 is a prime.

It is a super-2 number, since 2×976531252 = 19072265644531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12500 + ... + 18749.

It is an arithmetic number, because the mean of its divisors is an integer number (10171875).

Almost surely, 297653125 is an apocalyptic number.

It is an amenable number.

97653125 is a deficient number, since it is larger than the sum of its proper divisors (24409375).

97653125 is an frugal number, since it uses more digits than its factorization.

97653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31274 (or 31254 counting only the distinct ones).

The product of its digits is 56700, while the sum is 38.

The square root of 97653125 is about 9881.9595728782. The cubic root of 97653125 is about 460.4990252357.

The spelling of 97653125 in words is "ninety-seven million, six hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 125 625 3125 31249 156245 781225 3906125 19530625 97653125