33985896 has 64 divisors (see below), whose sum is σ = 98236800. Its totient is φ = 9596928.

The previous prime is 33985891. The next prime is 33985901. The reversal of 33985896 is 69858933.

It is an interprime number because it is at equal distance from previous prime (33985891) and next prime (33985901).

It is a super-2 number, since 2×33985896² = 2310082253845632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33985891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13816 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (1534950).

Almost surely, 2^33985896 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 33985896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49118400).

33985896 is an abundant number, since it is smaller than the sum of its proper divisors (64250904).

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

33985896 is a wasteful number, since it uses less digits than its factorization.

33985896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2374 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 33985896 is about 5829.7423613741. The cubic root of 33985896 is about 323.9163783589.

The spelling of 33985896 in words is "thirty-three million, nine hundred eighty-five thousand, eight hundred ninety-six".