33971472 has 60 divisors (see below), whose sum is σ = 95535180. Its totient is φ = 11268864.

The previous prime is 33971471. The next prime is 33971507. The reversal of 33971472 is 27417933.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 19501056 = 3804^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33971471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38298 + ... + 39174.

It is an arithmetic number, because the mean of its divisors is an integer number (1592253).

Almost surely, 2^33971472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33971472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47767590).

33971472 is an abundant number, since it is smaller than the sum of its proper divisors (61563708).

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

33971472 is a wasteful number, since it uses less digits than its factorization.

33971472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1151 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 33971472 is about 5828.5051256733. The cubic root of 33971472 is about 323.8705472787.

It can be divided in two parts, 33971 and 472, that added together give a palindrome (34443).

The spelling of 33971472 in words is "thirty-three million, nine hundred seventy-one thousand, four hundred seventy-two".