33921 has 6 divisors (see below), whose sum is σ = 49010. Its totient is φ = 22608.

The previous prime is 33911. The next prime is 33923. The reversal of 33921 is 12933.

33921 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 1521 = 180^2 + 39^2 .

It is not a de Polignac number, because 33921 - 2⁵ = 33889 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33894 and 33903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33921.

It is not an unprimeable number, because it can be changed into a prime (33923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1876 + ... + 1893.

2³³⁹²¹ is an apocalyptic number.

It is an amenable number.

33921 is a deficient number, since it is larger than the sum of its proper divisors (15089).

33921 is a wasteful number, since it uses less digits than its factorization.

33921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3772 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 33921 is about 184.1765457380. The cubic root of 33921 is about 32.3710074433.

The spelling of 33921 in words is "thirty-three thousand, nine hundred twenty-one".