164652 has 12 divisors (see below), whose sum is σ = 384216. Its totient is φ = 54880.

The previous prime is 164627. The next prime is 164653. The reversal of 164652 is 256461.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×164652² = 54220562208, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (164653) 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 3 ways as a sum of consecutive naturals, for example, 6849 + ... + 6872.

It is an arithmetic number, because the mean of its divisors is an integer number (32018).

2¹⁶⁴⁶⁵² is an apocalyptic number.

164652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164652 is an abundant number, since it is smaller than the sum of its proper divisors (219564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164652 is a wasteful number, since it uses less digits than its factorization.

164652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13726 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 164652 is about 405.7733357430. The cubic root of 164652 is about 54.8094785316.

Subtracting 164652 from its reverse (256461), we obtain a square (91809 = 303²).

The spelling of 164652 in words is "one hundred sixty-four thousand, six hundred fifty-two".