164536541 has 12 divisors (see below), whose sum is σ = 180021492. Its totient is φ = 150299136.

The previous prime is 164536531. The next prime is 164536577. The reversal of 164536541 is 145635461.

It can be written as a sum of positive squares in 6 ways, for example, as 37884025 + 126652516 = 6155^2 + 11254^2 .

It is not a de Polignac number, because 164536541 - 2¹⁰ = 164535517 is a prime.

It is a super-3 number, since 3×164536541³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164536511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11375 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (15001791).

Almost surely, 2^164536541 is an apocalyptic number.

It is an amenable number.

164536541 is a deficient number, since it is larger than the sum of its proper divisors (15484951).

164536541 is a wasteful number, since it uses less digits than its factorization.

164536541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10147 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 164536541 is about 12827.1797757730. The cubic root of 164536541 is about 547.9666417704.

The spelling of 164536541 in words is "one hundred sixty-four million, five hundred thirty-six thousand, five hundred forty-one".