164513035 has 24 divisors (see below), whose sum is σ = 205419888. Its totient is φ = 126436800.

The previous prime is 164513023. The next prime is 164513053. The reversal of 164513035 is 530315461.

It is not a de Polignac number, because 164513035 - 2⁵ = 164513003 is a prime.

It is a super-2 number, since 2×164513035² = 54129077369822450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164512994 and 164513012.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1537452 + ... + 1537558.

It is an arithmetic number, because the mean of its divisors is an integer number (8559162).

Almost surely, 2^164513035 is an apocalyptic number.

164513035 is a deficient number, since it is larger than the sum of its proper divisors (40906853).

164513035 is an equidigital number, since it uses as much as digits as its factorization.

164513035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 164513035 is about 12826.2634855206. The cubic root of 164513035 is about 547.9405460123.

Adding to 164513035 its reverse (530315461), we get a palindrome (694828496).

The spelling of 164513035 in words is "one hundred sixty-four million, five hundred thirteen thousand, thirty-five".