42966 has 48 divisors (see below), whose sum is σ = 119808. Its totient is φ = 10800.

The previous prime is 42961. The next prime is 42967. The reversal of 42966 is 66924.

Its product of digits (2592) is a multiple of the sum of its prime divisors (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (2496).

2⁴²⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59904).

42966 is an abundant number, since it is smaller than the sum of its proper divisors (76842).

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

42966 is a wasteful number, since it uses less digits than its factorization.

42966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 54 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 42966 is about 207.2824160415. The cubic root of 42966 is about 35.0247444068.

The spelling of 42966 in words is "forty-two thousand, nine hundred sixty-six".