164624 has 10 divisors (see below), whose sum is σ = 318990. Its totient is φ = 82304.

The previous prime is 164623. The next prime is 164627. The reversal of 164624 is 426461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 4624 = 400^2 + 68^2 .

It is a super-2 number, since 2×164624² = 54202122752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164624.

It is not an unprimeable number, because it can be changed into a prime (164621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5129 + ... + 5160.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2¹⁶⁴⁶²⁴ is an apocalyptic number.

It is an amenable number.

164624 is a deficient number, since it is larger than the sum of its proper divisors (154366).

164624 is a wasteful number, since it uses less digits than its factorization.

164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10297 (or 10291 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 164624 is about 405.7388322554. The cubic root of 164624 is about 54.8063714687.

It can be divided in two parts, 16 and 4624, that multiplied together give a square (73984 = 272²).

The spelling of 164624 in words is "one hundred sixty-four thousand, six hundred twenty-four".