36464 has 20 divisors (see below), whose sum is σ = 73656. Its totient is φ = 17472.

The previous prime is 36457. The next prime is 36467. The reversal of 36464 is 46463.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

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 36464.

It is not an unprimeable number, because it can be changed into a prime (36467) 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, 662 + ... + 714.

2³⁶⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

36464 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 (36828).

36464 is a wasteful number, since it uses less digits than its factorization.

36464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 36464 is about 190.9554921965. The cubic root of 36464 is about 33.1605279190.

Subtracting 36464 from its reverse (46463), we obtain a palindrome (9999).

The spelling of 36464 in words is "thirty-six thousand, four hundred sixty-four".