36416 has 14 divisors (see below), whose sum is σ = 72390. Its totient is φ = 18176.

The previous prime is 36389. The next prime is 36433. The reversal of 36416 is 61463.

36416 is nontrivially palindromic in base 7.

36416 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 10816 = 160^2 + 104^2 .

It is a super-2 number, since 2×36416² = 2652250112, which contains 22 as substring.

It is an unprimeable number.

36416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221 + ... + 348.

2³⁶⁴¹⁶ is an apocalyptic number.

It is an amenable number.

36416 is a deficient number, since it is larger than the sum of its proper divisors (35974).

36416 is an equidigital number, since it uses as much as digits as its factorization.

36416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 36416 is about 190.8297670700. The cubic root of 36416 is about 33.1459710567.

Adding to 36416 its reverse (61463), we get a palindrome (97879).

The spelling of 36416 in words is "thirty-six thousand, four hundred sixteen".