65863 has 6 divisors (see below), whose sum is σ = 76056. Its totient is φ = 55872.

The previous prime is 65851. The next prime is 65867. The reversal of 65863 is 36856.

65863 is nontrivially palindromic in base 3.

It is not a de Polignac number, because 65863 - 2⁵ = 65831 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65867) 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, 631 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (12676).

2⁶⁵⁸⁶³ is an apocalyptic number.

65863 is a deficient number, since it is larger than the sum of its proper divisors (10193).

65863 is an frugal number, since it uses more digits than its factorization.

65863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 104 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 65863 is about 256.6378771733. The cubic root of 65863 is about 40.3844187211.

Multiplying 65863 by its sum of digits (28), we get a square (1844164 = 1358²).

The spelling of 65863 in words is "sixty-five thousand, eight hundred sixty-three".