33971328 has 96 divisors (see below), whose sum is σ = 100524060. Its totient is φ = 11003904.

The previous prime is 33971309. The next prime is 33971341. The reversal of 33971328 is 82317933.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 1617984 = 5688^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33971328² = 2308102252167168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33971292 and 33971301.

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, 42226 + ... + 43022.

Almost surely, 2^33971328 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 33971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50262030).

33971328 is an abundant number, since it is smaller than the sum of its proper divisors (66552732).

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

33971328 is a wasteful number, since it uses less digits than its factorization.

33971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 33971328 is about 5828.4927725785. The cubic root of 33971328 is about 323.8700896651.

The spelling of 33971328 in words is "thirty-three million, nine hundred seventy-one thousand, three hundred twenty-eight".