36501 has 8 divisors (see below), whose sum is σ = 50880. Its totient is φ = 23276.

The previous prime is 36497. The next prime is 36523. The reversal of 36501 is 10563.

36501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=23.

It is not a de Polignac number, because 36501 - 2² = 36497 is a prime.

It is an alternating number because its digits alternate between odd and even.

36501 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36501.

It is not an unprimeable number, because it can be changed into a prime (36541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (6360).

2³⁶⁵⁰¹ is an apocalyptic number.

It is an amenable number.

36501 is a deficient number, since it is larger than the sum of its proper divisors (14379).

36501 is an frugal number, since it uses more digits than its factorization.

36501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 36501 is about 191.0523488471. The cubic root of 36501 is about 33.1717401171.

It can be divided in two parts, 3 and 6501, that multiplied together give a triangular number (19503 = T₁₉₇).

The spelling of 36501 in words is "thirty-six thousand, five hundred one".