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97786125 = 3253175113
BaseRepresentation
bin1011101010000…
…01100100001101
320211000001100100
411311001210031
5200013124000
613411521313
72265111513
oct565014415
9224001310
1097786125
115021a188
12288b9239
1317349c18
14cdb64b3
1588b8a00
hex5d4190d

97786125 has 48 divisors (see below), whose sum is σ = 186681456. Its totient is φ = 49075200.

The previous prime is 97786081. The next prime is 97786127. The reversal of 97786125 is 52168779.

It can be written as a sum of positive squares in 8 ways, for example, as 50424201 + 47361924 = 7101^2 + 6882^2 .

It is not a de Polignac number, because 97786125 - 29 = 97785613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97786127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16569 + ... + 21681.

It is an arithmetic number, because the mean of its divisors is an integer number (3889197).

Almost surely, 297786125 is an apocalyptic number.

It is an amenable number.

97786125 is a deficient number, since it is larger than the sum of its proper divisors (88895331).

97786125 is a wasteful number, since it uses less digits than its factorization.

97786125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5138 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 97786125 is about 9888.6867176587. The cubic root of 97786125 is about 460.7079913637.

The spelling of 97786125 in words is "ninety-seven million, seven hundred eighty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 5113 6375 15339 19125 25565 46017 76695 86921 127825 230085 260763 383475 434605 639125 782289 1150425 1303815 1917375 2173025 3911445 5752125 6519075 10865125 19557225 32595375 97786125