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164405325 = 3527313153
BaseRepresentation
bin10011100110010…
…10000001001101
3102110100122201010
421303022001031
5314041432300
624151435433
74034264550
oct1163120115
9373318633
10164405325
1184891177
1247085b79
13280a3976
1417b98697
15e677a50
hex9cca04d

164405325 has 24 divisors (see below), whose sum is σ = 310648768. Its totient is φ = 75156480.

The previous prime is 164405323. The next prime is 164405333. The reversal of 164405325 is 523504461.

It is not a de Polignac number, because 164405325 - 21 = 164405323 is a prime.

It is a super-3 number, since 3×1644053253 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164405292 and 164405301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164405323) 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, 156052 + ... + 157101.

Almost surely, 2164405325 is an apocalyptic number.

164405325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164405325 is a deficient number, since it is larger than the sum of its proper divisors (146243443).

164405325 is a wasteful number, since it uses less digits than its factorization.

164405325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313173 (or 313168 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 164405325 is about 12822.0639914173. The cubic root of 164405325 is about 547.8209373318.

Adding to 164405325 its reverse (523504461), we get a palindrome (687909786).

The spelling of 164405325 in words is "one hundred sixty-four million, four hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 313153 939459 1565765 2192071 4697295 6576213 7828825 10960355 23486475 32881065 54801775 164405325