164983 has 16 divisors (see below), whose sum is σ = 212800. Its totient is φ = 127008.

The previous prime is 164963. The next prime is 164987. The reversal of 164983 is 389461.

164983 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164983 - 2⁹ = 164471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4441 + ... + 4477.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2¹⁶⁴⁹⁸³ is an apocalyptic number.

164983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

164983 is a deficient number, since it is larger than the sum of its proper divisors (47817).

164983 is an equidigital number, since it uses as much as digits as its factorization.

164983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 164983 is about 406.1809941393. The cubic root of 164983 is about 54.8461817887.

It can be divided in two parts, 16498 and 3, that multiplied together give a palindrome (49494).

The spelling of 164983 in words is "one hundred sixty-four thousand, nine hundred eighty-three".