335973 has 8 divisors (see below), whose sum is σ = 488736. Its totient is φ = 203600.

The previous prime is 335957. The next prime is 335999. The reversal of 335973 is 379533.

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

It is a cyclic number.

It is not a de Polignac number, because 335973 - 2⁴ = 335957 is a prime.

It is a super-2 number, since 2×335973² = 225755713458, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 335973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335953) 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, 5058 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (61092).

2³³⁵⁹⁷³ is an apocalyptic number.

335973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

335973 is a deficient number, since it is larger than the sum of its proper divisors (152763).

335973 is a wasteful number, since it uses less digits than its factorization.

335973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195.

The product of its digits is 8505, while the sum is 30.

The square root of 335973 is about 579.6317796671. The cubic root of 335973 is about 69.5186706907.

It can be divided in two parts, 33 and 5973, that added together give a palindrome (6006).

The spelling of 335973 in words is "three hundred thirty-five thousand, nine hundred seventy-three".