164633 has 8 divisors (see below), whose sum is σ = 194880. Its totient is φ = 136080.

The previous prime is 164627. The next prime is 164653. The reversal of 164633 is 336461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164633 - 2⁴ = 164617 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164599 and 164608.

It is not an unprimeable number, because it can be changed into a prime (164623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (24360).

2¹⁶⁴⁶³³ is an apocalyptic number.

It is an amenable number.

164633 is a deficient number, since it is larger than the sum of its proper divisors (30247).

164633 is an equidigital number, since it uses as much as digits as its factorization.

164633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847.

The product of its digits is 1296, while the sum is 23.

The square root of 164633 is about 405.7499229821. The cubic root of 164633 is about 54.8073702059.

It can be divided in two parts, 164 and 633, that added together give a palindrome (797).

The spelling of 164633 in words is "one hundred sixty-four thousand, six hundred thirty-three".