33701 has 4 divisors (see below), whose sum is σ = 34272. Its totient is φ = 33132.

The previous prime is 33679. The next prime is 33703. The reversal of 33701 is 10733.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 33701 - 2⁶ = 33637 is a prime.

It is a super-2 number, since 2×33701² = 2271514802, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33701.

It is not an unprimeable number, because it can be changed into a prime (33703) 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 3 ways as a sum of consecutive naturals, for example, 185 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2³³⁷⁰¹ is an apocalyptic number.

It is an amenable number.

33701 is a deficient number, since it is larger than the sum of its proper divisors (571).

33701 is an equidigital number, since it uses as much as digits as its factorization.

33701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 33701 is about 183.5783211602. The cubic root of 33701 is about 32.3008731756.

The spelling of 33701 in words is "thirty-three thousand, seven hundred one".