36481 has 3 divisors (see below), whose sum is σ = 36673. Its totient is φ = 36290.

The previous prime is 36479. The next prime is 36493. The reversal of 36481 is 18463.

Multipling 36481 by its product of digits (576), we get a square (21013056 = 4584^{2}).

36481 = T_{190} + T_{191}.

The square root of 36481 is 191.

It is a perfect power (a square), and thus also a powerful number.

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: 18463 = 37 ⋅499.

It is not a de Polignac number, because 36481 - 2^{1} = 36479 is a prime.

It is a super-2 number, since 2×36481^{2} = 2661726722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

36481 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (36451) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 96 + ... + 286.

2^{36481} is an apocalyptic number.

36481 is the 191-st square number.

36481 is the 96-th centered octagonal number.

It is an amenable number.

36481 is a deficient number, since it is larger than the sum of its proper divisors (192).

36481 is an frugal number, since it uses more digits than its factorization.

36481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The cubic root of 36481 is about 33.1656804108.

The spelling of 36481 in words is "thirty-six thousand, four hundred eighty-one".

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