336972 has 12 divisors (see below), whose sum is σ = 786296. Its totient is φ = 112320.

The previous prime is 336961. The next prime is 336977. The reversal of 336972 is 279633.

Added to its reverse (279633) it gives a triangular number (616605 = T₁₁₁₀).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×336972² = 227100257568, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336972.

It is not an unprimeable number, because it can be changed into a prime (336977) 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, 14029 + ... + 14052.

2³³⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

336972 is an abundant number, since it is smaller than the sum of its proper divisors (449324).

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

336972 is a wasteful number, since it uses less digits than its factorization.

336972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28088 (or 28086 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 336972 is about 580.4928940134. The cubic root of 336972 is about 69.5875060147.

Adding to 336972 its reverse (279633), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 336972 in words is "three hundred thirty-six thousand, nine hundred seventy-two".