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164853 = 32131409
BaseRepresentation
bin101000001111110101
322101010200
4220033311
520233403
63311113
71254423
oct501765
9271120
10164853
11102947
127b499
135a060
1444113
1533ca3
hex283f5

164853 has 12 divisors (see below), whose sum is σ = 256620. Its totient is φ = 101376.

The previous prime is 164839. The next prime is 164881. The reversal of 164853 is 358461.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 154449 = 102^2 + 393^2 .

It is not a de Polignac number, because 164853 - 24 = 164837 is a prime.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (21385).

2164853 is an apocalyptic number.

164853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164853 is a deficient number, since it is larger than the sum of its proper divisors (91767).

164853 is a wasteful number, since it uses less digits than its factorization.

164853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1425 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164853 is about 406.0209354208. The cubic root of 164853 is about 54.8317724714.

It can be divided in two parts, 16485 and 3, that multiplied together give a triangular number (49455 = T314).

The spelling of 164853 in words is "one hundred sixty-four thousand, eight hundred fifty-three".

Divisors: 1 3 9 13 39 117 1409 4227 12681 18317 54951 164853