42954 has 8 divisors (see below), whose sum is σ = 85920. Its totient is φ = 14316.

The previous prime is 42953. The next prime is 42961. The reversal of 42954 is 45924.

It is a sphenic number, since it is the product of 3 distinct primes.

42954 is an admirable number.

It is a super-2 number, since 2×42954² = 3690092232, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42954.

It is not an unprimeable number, because it can be changed into a prime (42953) 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, 3574 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (10740).

2⁴²⁹⁵⁴ is an apocalyptic number.

42954 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (42960).

42954 is a wasteful number, since it uses less digits than its factorization.

42954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164.

The product of its digits is 1440, while the sum is 24.

The square root of 42954 is about 207.2534680048. The cubic root of 42954 is about 35.0214834092.

Subtracting from 42954 its product of digits (1440), we obtain a palindrome (41514).

The spelling of 42954 in words is "forty-two thousand, nine hundred fifty-four".