33405012 has 36 divisors (see below), whose sum is σ = 85225140. Its totient is φ = 11031552.

The previous prime is 33405007. The next prime is 33405041. The reversal of 33405012 is 21050433.

It can be written as a sum of positive squares in 2 ways, for example, as 29095236 + 4309776 = 5394^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33405012² = 2231789653440288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333 + ... + 8180.

It is an arithmetic number, because the mean of its divisors is an integer number (2367365).

Almost surely, 2^33405012 is an apocalyptic number.

It is an amenable number.

33405012 is an abundant number, since it is smaller than the sum of its proper divisors (51820128).

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

33405012 is a wasteful number, since it uses less digits than its factorization.

33405012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 33405012 is about 5779.7069129844. The cubic root of 33405012 is about 322.0603130210.

Adding to 33405012 its reverse (21050433), we get a palindrome (54455445).

The spelling of 33405012 in words is "thirty-three million, four hundred five thousand, twelve".