164736033 has 32 divisors (see below), whose sum is σ = 276314112. Its totient is φ = 84806400.

The previous prime is 164736007. The next prime is 164736041. The reversal of 164736033 is 330637461.

It is not a de Polignac number, because 164736033 - 2¹⁰ = 164735009 is a prime.

It is a super-3 number, since 3×164736033³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 164735985 and 164736003.

It is not an unprimeable number, because it can be changed into a prime (164736043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22948 + ... + 29258.

It is an arithmetic number, because the mean of its divisors is an integer number (8634816).

Almost surely, 2^164736033 is an apocalyptic number.

It is an amenable number.

164736033 is a deficient number, since it is larger than the sum of its proper divisors (111578079).

164736033 is a wasteful number, since it uses less digits than its factorization.

164736033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 164736033 is about 12834.9535643881. The cubic root of 164736033 is about 548.1880126805.

The spelling of 164736033 in words is "one hundred sixty-four million, seven hundred thirty-six thousand, thirty-three".