65364 has 24 divisors (see below), whose sum is σ = 164640. Its totient is φ = 20064.

The previous prime is 65357. The next prime is 65371. The reversal of 65364 is 46356.

It is an interprime number because it is at equal distance from previous prime (65357) and next prime (65371).

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 16.

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 65364.

It is an unprimeable number.

65364 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

2⁶⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

65364 is an abundant number, since it is smaller than the sum of its proper divisors (99276).

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 (82320).

65364 is a wasteful number, since it uses less digits than its factorization.

65364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

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

The square root of 65364 is about 255.6638417923. The cubic root of 65364 is about 40.2821714677.

It can be divided in two parts, 653 and 64, that added together give a palindrome (717).

The spelling of 65364 in words is "sixty-five thousand, three hundred sixty-four".