65946 has 16 divisors (see below), whose sum is σ = 136800. Its totient is φ = 21168.

The previous prime is 65929. The next prime is 65951. The reversal of 65946 is 64956.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁶⁵⁹⁴⁶ is an apocalyptic number.

65946 is an abundant number, since it is smaller than the sum of its proper divisors (70854).

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 (68400).

65946 is a wasteful number, since it uses less digits than its factorization.

65946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its digits is 6480, while the sum is 30.

The square root of 65946 is about 256.7995327099. The cubic root of 65946 is about 40.4013756353.

Subtracting from 65946 its reverse (64956), we obtain a triangular number (990 = T₄₄).

The spelling of 65946 in words is "sixty-five thousand, nine hundred forty-six".