36546 has 8 divisors (see below), whose sum is σ = 73104. Its totient is φ = 12180.

The previous prime is 36541. The next prime is 36551. The reversal of 36546 is 64563.

It is an interprime number because it is at equal distance from previous prime (36541) and next prime (36551).

It is a sphenic number, since it is the product of 3 distinct primes.

36546 is an admirable number.

It is a super-2 number, since 2×36546² = 2671220232, which contains 22 as substring.

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36546.

It is not an unprimeable number, because it can be changed into a prime (36541) 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 3 ways as a sum of consecutive naturals, for example, 3040 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (9138).

2³⁶⁵⁴⁶ is an apocalyptic number.

36546 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36552).

36546 is a wasteful number, since it uses less digits than its factorization.

36546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096.

The product of its digits is 2160, while the sum is 24.

The square root of 36546 is about 191.1700813412. The cubic root of 36546 is about 33.1853663674.

The spelling of 36546 in words is "thirty-six thousand, five hundred forty-six".