33466 has 8 divisors (see below), whose sum is σ = 52020. Its totient is φ = 16128.

The previous prime is 33461. The next prime is 33469. The reversal of 33466 is 66433.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 4225 = 171^2 + 65^2 .

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

It is a super-2 number, since 2×33466² = 2239946312, which contains 22 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33461) 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, 231 + ... + 346.

2³³⁴⁶⁶ is an apocalyptic number.

33466 is the 116-th heptagonal number.

33466 is a deficient number, since it is larger than the sum of its proper divisors (18554).

33466 is a wasteful number, since it uses less digits than its factorization.

33466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its digits is 1296, while the sum is 22.

The square root of 33466 is about 182.9371476765. The cubic root of 33466 is about 32.2256190544.

Adding to 33466 its reverse (66433), we get a palindrome (99899).

It can be divided in two parts, 334 and 66, that added together give a square (400 = 20²).

The spelling of 33466 in words is "thirty-three thousand, four hundred sixty-six".