42921 has 12 divisors (see below), whose sum is σ = 65520. Its totient is φ = 27000.

The previous prime is 42901. The next prime is 42923. The reversal of 42921 is 12924.

It is not a de Polignac number, because 42921 - 2⁷ = 42793 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42894 and 42903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42921.

It is not an unprimeable number, because it can be changed into a prime (42923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁴²⁹²¹ is an apocalyptic number.

It is an amenable number.

42921 is a deficient number, since it is larger than the sum of its proper divisors (22599).

42921 is a wasteful number, since it uses less digits than its factorization.

42921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 42921 is about 207.1738400474. The cubic root of 42921 is about 35.0125125330.

It can be divided in two parts, 429 and 21, that multiplied together give a palindrome (9009).

The spelling of 42921 in words is "forty-two thousand, nine hundred twenty-one".