33897864 has 256 divisors, whose sum is σ = 121927680. Its totient is φ = 7557120.

The previous prime is 33897863. The next prime is 33897901. The reversal of 33897864 is 46879833.

It is a super-2 number, since 2×33897864² = 2298130367524992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33897863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408367 + ... + 408449.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^33897864 is an apocalyptic number.

33897864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33897864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

33897864 is an abundant number, since it is smaller than the sum of its proper divisors (88029816).

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

33897864 is a wasteful number, since it uses less digits than its factorization.

33897864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 33897864 is about 5822.1872178761. The cubic root of 33897864 is about 323.6364616305.

The spelling of 33897864 in words is "thirty-three million, eight hundred ninety-seven thousand, eight hundred sixty-four".