65376 has 36 divisors (see below), whose sum is σ = 186732. Its totient is φ = 21696.

The previous prime is 65371. The next prime is 65381. The reversal of 65376 is 67356.

65376 is a `hidden beast` number, since 653 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (65371) and next prime (65381).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁶⁵³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366).

65376 is an abundant number, since it is smaller than the sum of its proper divisors (121356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65376 is a wasteful number, since it uses less digits than its factorization.

65376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 65376 is about 255.6873090320. The cubic root of 65376 is about 40.2846364151.

It can be divided in two parts, 653 and 76, that added together give a 6-th power (729 = 3⁶).

The spelling of 65376 in words is "sixty-five thousand, three hundred seventy-six".