164745 has 24 divisors (see below), whose sum is σ = 326976. Its totient is φ = 75168.

The previous prime is 164743. The next prime is 164767. The reversal of 164745 is 547461.

164745 = T₇₉ + T₈₀ + ... + T₁₁₃.

It is not a de Polignac number, because 164745 - 2¹ = 164743 is a prime.

164745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (164743) 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 23 ways as a sum of consecutive naturals, for example, 54 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (13624).

2¹⁶⁴⁷⁴⁵ is an apocalyptic number.

164745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164745 is a deficient number, since it is larger than the sum of its proper divisors (162231).

164745 is a wasteful number, since it uses less digits than its factorization.

164745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 538 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 164745 is about 405.8879155629. The cubic root of 164745 is about 54.8197958921.

It can be divided in two parts, 164 and 745, that added together give a palindrome (909).

The spelling of 164745 in words is "one hundred sixty-four thousand, seven hundred forty-five".