33901 has 8 divisors (see below), whose sum is σ = 40320. Its totient is φ = 27888.

The previous prime is 33893. The next prime is 33911. The reversal of 33901 is 10933.

33901 = T₄₆ + T₄₇ + ... + T₆₆.

It is a happy number.

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

It is not a de Polignac number, because 33901 - 2³ = 33893 is a prime.

It is a super-2 number, since 2×33901² = 2298555602, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2³³⁹⁰¹ is an apocalyptic number.

It is an amenable number.

33901 is a deficient number, since it is larger than the sum of its proper divisors (6419).

33901 is a wasteful number, since it uses less digits than its factorization.

33901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 33901 is about 184.1222420024. The cubic root of 33901 is about 32.3646441538.

The spelling of 33901 in words is "thirty-three thousand, nine hundred one".