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97503125 = 5541761
BaseRepresentation
bin1011100111111…
…00011110010101
320210110200010212
411303330132111
5144430100000
613401455205
72262522446
oct563743625
9223420125
1097503125
11500465a5
12287a1505
131727b175
14cd412cd
15885ec35
hex5cfc795

97503125 has 24 divisors (see below), whose sum is σ = 125007624. Its totient is φ = 76000000.

The previous prime is 97503121. The next prime is 97503137. The reversal of 97503125 is 52130579.

It can be written as a sum of positive squares in 12 ways, for example, as 65399569 + 32103556 = 8087^2 + 5666^2 .

It is not a de Polignac number, because 97503125 - 22 = 97503121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97503091 and 97503100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97503121) 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 23 ways as a sum of consecutive naturals, for example, 127745 + ... + 128505.

It is an arithmetic number, because the mean of its divisors is an integer number (5208651).

Almost surely, 297503125 is an apocalyptic number.

It is an amenable number.

97503125 is a deficient number, since it is larger than the sum of its proper divisors (27504499).

97503125 is an frugal number, since it uses more digits than its factorization.

97503125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 97503125 is about 9874.3670683239. The cubic root of 97503125 is about 460.2631213618.

The spelling of 97503125 in words is "ninety-seven million, five hundred three thousand, one hundred twenty-five".

Divisors: 1 5 25 41 125 205 625 761 1025 3125 3805 5125 19025 25625 31201 95125 128125 156005 475625 780025 2378125 3900125 19500625 97503125