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164429 is a prime number
BaseRepresentation
bin101000001001001101
322100112222
4220021031
520230204
63305125
71253246
oct501115
9270488
10164429
111025a1
127b1a5
1359ac5
1443ccd
1533abe
hex2824d

164429 has 2 divisors, whose sum is σ = 164430. Its totient is φ = 164428.

The previous prime is 164419. The next prime is 164431. The reversal of 164429 is 924461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88804 + 75625 = 298^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 164429 - 24 = 164413 is a prime.

It is a super-3 number, since 3×1644293 = 13336949337376767, which contains 333 as substring.

Together with 164431, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 164398 and 164407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82214 + 82215.

It is an arithmetic number, because the mean of its divisors is an integer number (82215).

2164429 is an apocalyptic number.

It is an amenable number.

164429 is a deficient number, since it is larger than the sum of its proper divisors (1).

164429 is an equidigital number, since it uses as much as digits as its factorization.

164429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

The square root of 164429 is about 405.4984586900. The cubic root of 164429 is about 54.7847232178.

The spelling of 164429 in words is "one hundred sixty-four thousand, four hundred twenty-nine".