42976 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 19968.

The previous prime is 42967. The next prime is 42979. The reversal of 42976 is 67924.

42976 = T₃₅ + T₃₆ + ... + T₆₆.

42976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴²⁹⁷⁶ 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 42976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

42976 is an abundant number, since it is smaller than the sum of its proper divisors (47744).

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

42976 is a wasteful number, since it uses less digits than its factorization.

42976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 42976 is about 207.3065363176. The cubic root of 42976 is about 35.0274614410.

It can be divided in two parts, 429 and 76, that added together give a palindrome (505).

The spelling of 42976 in words is "forty-two thousand, nine hundred seventy-six".