164681 has 6 divisors (see below), whose sum is σ = 181146. Its totient is φ = 149600.

The previous prime is 164677. The next prime is 164683. The reversal of 164681 is 186461.

It can be written as a sum of positive squares in only one way, i.e., 116281 + 48400 = 341^2 + 220^2 .

It is not a de Polignac number, because 164681 - 2² = 164677 is a prime.

It is a super-4 number, since 4×164681⁴ (a number of 22 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164681.

It is not an unprimeable number, because it can be changed into a prime (164683) 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 5 ways as a sum of consecutive naturals, for example, 560 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (30191).

2¹⁶⁴⁶⁸¹ is an apocalyptic number.

164681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164681 is a deficient number, since it is larger than the sum of its proper divisors (16465).

164681 is a wasteful number, since it uses less digits than its factorization.

164681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 164681 is about 405.8090684053. The cubic root of 164681 is about 54.8126961898.

The spelling of 164681 in words is "one hundred sixty-four thousand, six hundred eighty-one".