336966 has 32 divisors (see below), whose sum is σ = 787968. Its totient is φ = 94080.

The previous prime is 336961. The next prime is 336977. The reversal of 336966 is 669633.

336966 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×336966² = 227092170312, which contains 22 as substring.

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 336966.

It is not an unprimeable number, because it can be changed into a prime (336961) by changing a digit.

336966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2926 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (24624).

2³³⁶⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393984).

336966 is an abundant number, since it is smaller than the sum of its proper divisors (451002).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

336966 is a wasteful number, since it uses less digits than its factorization.

336966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 17496, while the sum is 33.

The square root of 336966 is about 580.4877259684. The cubic root of 336966 is about 69.5870929957.

The spelling of 336966 in words is "three hundred thirty-six thousand, nine hundred sixty-six".