164738 has 18 divisors (see below), whose sum is σ = 294633. Its totient is φ = 68880.

The previous prime is 164729. The next prime is 164743. The reversal of 164738 is 837461.

164738 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 117649 + 47089 = 343^2 + 217^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=287.

It is a Duffinian number.

164738 is a modest number, since divided by 738 gives 164 as remainder.

It is a self number, because there is not a number *n* which added to its sum of digits gives 164738.

It is an unprimeable number.

164738 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3998 + ... + 4038.

2^{164738} is an apocalyptic number.

164738 is a deficient number, since it is larger than the sum of its proper divisors (129895).

164738 is an equidigital number, since it uses as much as digits as its factorization.

164738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 50 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 164738 is about 405.8792924011. The cubic root of 164738 is about 54.8190194517.

The spelling of 164738 in words is "one hundred sixty-four thousand, seven hundred thirty-eight".

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