164040017 has 4 divisors (see below), whose sum is σ = 164065716. Its totient is φ = 164014320.

The previous prime is 164040013. The next prime is 164040029. The reversal of 164040017 is 710040461.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 17048641 + 146991376 = 4129^2 + 12124^2 .

It is a cyclic number.

It is not a de Polignac number, because 164040017 - 2² = 164040013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164039974 and 164040001.

It is not an unprimeable number, because it can be changed into a prime (164040013) 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 in 3 ways as a sum of consecutive naturals, for example, 4883 + ... + 18759.

It is an arithmetic number, because the mean of its divisors is an integer number (41016429).

Almost surely, 2^164040017 is an apocalyptic number.

It is an amenable number.

164040017 is a deficient number, since it is larger than the sum of its proper divisors (25699).

164040017 is a wasteful number, since it uses less digits than its factorization.

164040017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25698.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 164040017 is about 12807.8107809258. The cubic root of 164040017 is about 547.4148844283.

Adding to 164040017 its reverse (710040461), we get a palindrome (874080478).

The spelling of 164040017 in words is "one hundred sixty-four million, forty thousand, seventeen".