164829409 has 2 divisors, whose sum is σ = 164829410. Its totient is φ = 164829408.

The previous prime is 164829407. The next prime is 164829439. The reversal of 164829409 is 904928461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162639009 + 2190400 = 12753^2 + 1480^2 .

It is a cyclic number.

It is not a de Polignac number, because 164829409 - 2¹ = 164829407 is a prime.

Together with 164829407, it forms a pair of twin primes.

It is equal to p_9229957 and since 164829409 and 9229957 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (164829403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82414704 + 82414705.

It is an arithmetic number, because the mean of its divisors is an integer number (82414705).

Almost surely, 2^164829409 is an apocalyptic number.

It is an amenable number.

164829409 is a deficient number, since it is larger than the sum of its proper divisors (1).

164829409 is an equidigital number, since it uses as much as digits as its factorization.

164829409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 164829409 is about 12838.5906157958. The cubic root of 164829409 is about 548.2915681171.

The spelling of 164829409 in words is "one hundred sixty-four million, eight hundred twenty-nine thousand, four hundred nine".