164737 has 4 divisors (see below), whose sum is σ = 165636. Its totient is φ = 163840.

The previous prime is 164729. The next prime is 164743. The reversal of 164737 is 737461.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 737461 = 223 ⋅3307.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 7921 = 396^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 164737 - 2³ = 164729 is a prime.

It is a Duffinian number.

164737 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (164707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (41409).

It is a Poulet number, since it divides 2¹⁶⁴⁷³⁶-1.

2¹⁶⁴⁷³⁷ is an apocalyptic number.

164737 is the 257-th heptagonal number.

It is an amenable number.

164737 is a deficient number, since it is larger than the sum of its proper divisors (899).

164737 is an equidigital number, since it uses as much as digits as its factorization.

164737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898.

The product of its digits is 3528, while the sum is 28.

The square root of 164737 is about 405.8780605059. The cubic root of 164737 is about 54.8189085299.

It can be divided in two parts, 16 and 4737, that added together give a triangular number (4753 = T₉₇).

The spelling of 164737 in words is "one hundred sixty-four thousand, seven hundred thirty-seven".