33406972 has 12 divisors (see below), whose sum is σ = 61901280. Its totient is φ = 15720896.

The previous prime is 33406957. The next prime is 33406979. The reversal of 33406972 is 27960433.

It is a super-4 number, since 4×33406972⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33406979) 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, 245572 + ... + 245707.

It is an arithmetic number, because the mean of its divisors is an integer number (5158440).

Almost surely, 2^33406972 is an apocalyptic number.

It is an amenable number.

33406972 is a deficient number, since it is larger than the sum of its proper divisors (28494308).

33406972 is a wasteful number, since it uses less digits than its factorization.

33406972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491300 (or 491298 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 33406972 is about 5779.8764692682. The cubic root of 33406972 is about 322.0666117352.

The spelling of 33406972 in words is "thirty-three million, four hundred six thousand, nine hundred seventy-two".