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97131105 = 3253758337
BaseRepresentation
bin1011100101000…
…01101001100001
320202202202211100
411302201221201
5144331143410
613345505013
72256413031
oct562415141
9222682740
1097131105
114a912045
1228642169
131717aa36
14cc858c1
1587d98c0
hex5ca1a61

97131105 has 24 divisors (see below), whose sum is σ = 172913832. Its totient is φ = 50402304.

The previous prime is 97131103. The next prime is 97131119. The reversal of 97131105 is 50113179.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57289761 + 39841344 = 7569^2 + 6312^2 .

It is not a de Polignac number, because 97131105 - 21 = 97131103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97131101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27504 + ... + 30833.

It is an arithmetic number, because the mean of its divisors is an integer number (7204743).

Almost surely, 297131105 is an apocalyptic number.

It is an amenable number.

97131105 is a deficient number, since it is larger than the sum of its proper divisors (75782727).

97131105 is a wasteful number, since it uses less digits than its factorization.

97131105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58385 (or 58382 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 97131105 is about 9855.5114022561. The cubic root of 97131105 is about 459.6770023027.

The spelling of 97131105 in words is "ninety-seven million, one hundred thirty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 58337 175011 291685 525033 875055 2158469 2625165 6475407 10792345 19426221 32377035 97131105