164343507 has 16 divisors (see below), whose sum is σ = 221075712. Its totient is φ = 108591840.

The previous prime is 164343499. The next prime is 164343523. The reversal of 164343507 is 705343461.

It is not a de Polignac number, because 164343507 - 2³ = 164343499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164343587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287532 + ... + 288102.

It is an arithmetic number, because the mean of its divisors is an integer number (13817232).

Almost surely, 2^164343507 is an apocalyptic number.

164343507 is a deficient number, since it is larger than the sum of its proper divisors (56732205).

164343507 is a wasteful number, since it uses less digits than its factorization.

164343507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 164343507 is about 12819.6531544344. The cubic root of 164343507 is about 547.7522667253.

Adding to 164343507 its reverse (705343461), we get a palindrome (869686968).

It can be divided in two parts, 1643 and 43507, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 164343507 in words is "one hundred sixty-four million, three hundred forty-three thousand, five hundred seven".