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164033 = 179649
BaseRepresentation
bin101000000011000001
322100000022
4220003001
520222113
63303225
71252142
oct500301
9270008
10164033
11102271
127ab15
135987c
1443ac9
1533908
hex280c1

164033 has 4 divisors (see below), whose sum is σ = 173700. Its totient is φ = 154368.

The previous prime is 164023. The next prime is 164039. The reversal of 164033 is 330461.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 330461 = 2771193.

It can be written as a sum of positive squares in 2 ways, for example, as 69169 + 94864 = 263^2 + 308^2 .

It is a cyclic number.

It is not a de Polignac number, because 164033 - 212 = 159937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 9649 = 164033 / (1 + 6 + 4 + 0 + 3 + 3).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4808 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (43425).

2164033 is an apocalyptic number.

It is an amenable number.

164033 is a deficient number, since it is larger than the sum of its proper divisors (9667).

164033 is an equidigital number, since it uses as much as digits as its factorization.

164033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9666.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 164033 is about 405.0098764228. The cubic root of 164033 is about 54.7407078884.

Adding to 164033 its reverse (330461), we get a palindrome (494494).

The spelling of 164033 in words is "one hundred sixty-four thousand, thirty-three".

Divisors: 1 17 9649 164033