33464 has 16 divisors (see below), whose sum is σ = 64800. Its totient is φ = 16192.

The previous prime is 33461. The next prime is 33469. The reversal of 33464 is 46433.

33464 = 38² + 39² + ... + 53².

It is a happy number.

It is a super-2 number, since 2×33464² = 2239678592, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2³³⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

33464 is a deficient number, since it is larger than the sum of its proper divisors (31336).

33464 is a wasteful number, since it uses less digits than its factorization.

33464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 33464 is about 182.9316812365. The cubic root of 33464 is about 32.2249770842.

Adding to 33464 its reverse (46433), we get a palindrome (79897).

The spelling of 33464 in words is "thirty-three thousand, four hundred sixty-four".