33997968 has 100 divisors (see below), whose sum is σ = 101201980. Its totient is φ = 11010816.

The previous prime is 33997961. The next prime is 33997981. The reversal of 33997968 is 86979933.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 16257024 = 4212^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (33997961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47598 + ... + 48306.

Almost surely, 2^33997968 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 33997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50600990).

33997968 is an abundant number, since it is smaller than the sum of its proper divisors (67204012).

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

33997968 is a wasteful number, since it uses less digits than its factorization.

33997968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 33997968 is about 5830.7776496793. Note that the first 3 decimals coincide. The cubic root of 33997968 is about 323.9547261843.

It can be divided in two parts, 33 and 997968, that added together give a square (998001 = 999²).

The spelling of 33997968 in words is "thirty-three million, nine hundred ninety-seven thousand, nine hundred sixty-eight".