45966 has 16 divisors (see below), whose sum is σ = 94464. Its totient is φ = 14904.

The previous prime is 45959. The next prime is 45971. The reversal of 45966 is 66954.

It is a super-2 number, since 2×45966² = 4225746312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

45966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (5904).

2⁴⁵⁹⁶⁶ is an apocalyptic number.

45966 is an abundant number, since it is smaller than the sum of its proper divisors (48498).

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 (47232).

45966 is a wasteful number, since it uses less digits than its factorization.

45966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

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

The square root of 45966 is about 214.3968283347. The cubic root of 45966 is about 35.8216487352.

It can be divided in two parts, 459 and 66, that added together give a palindrome (525).

The spelling of 45966 in words is "forty-five thousand, nine hundred sixty-six".