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97145685 = 32572133389
BaseRepresentation
bin1011100101001…
…01001101010101
320202210111211100
411302211031111
5144332130220
613350100313
72256503400
oct562451525
9222714740
1097145685
114a921a9a
122864a699
1317184570
14cc8ad37
1587ddd90
hex5ca5355

97145685 has 72 divisors (see below), whose sum is σ = 211007160. Its totient is φ = 40981248.

The previous prime is 97145677. The next prime is 97145707. The reversal of 97145685 is 58654179.

It can be written as a sum of positive squares in 4 ways, for example, as 17114769 + 80030916 = 4137^2 + 8946^2 .

It is not a de Polignac number, because 97145685 - 23 = 97145677 is a prime.

It is a super-2 number, since 2×971456852 = 18874568228238450, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97145685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26971 + ... + 30359.

It is an arithmetic number, because the mean of its divisors is an integer number (2930655).

Almost surely, 297145685 is an apocalyptic number.

It is an amenable number.

97145685 is an abundant number, since it is smaller than the sum of its proper divisors (113861475).

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

97145685 is a wasteful number, since it uses less digits than its factorization.

97145685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3417 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 97145685 is about 9856.2510621433. The cubic root of 97145685 is about 459.7000013045.

It can be divided in two parts, 971 and 45685, that added together give a 6-th power (46656 = 66).

The spelling of 97145685 in words is "ninety-seven million, one hundred forty-five thousand, six hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 3389 4095 5733 9555 10167 16945 23723 28665 30501 44057 50835 71169 118615 132171 152505 166061 213507 220285 308399 355845 396513 498183 660855 830305 925197 1067535 1494549 1541995 1982565 2158793 2490915 2775591 4625985 6476379 7472745 10793965 13877955 19429137 32381895 97145685