33866248 has 48 divisors (see below), whose sum is σ = 70722180. Its totient is φ = 15185664.

The previous prime is 33866243. The next prime is 33866257. The reversal of 33866248 is 84266833.

It can be written as a sum of positive squares in 6 ways, for example, as 23251684 + 10614564 = 4822^2 + 3258^2 .

It is a super-2 number, since 2×33866248² = 2293845507195008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33866248.

It is not an unprimeable number, because it can be changed into a prime (33866243) 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, 49686 + ... + 50362.

Almost surely, 2^33866248 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 33866248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35361090).

33866248 is an abundant number, since it is smaller than the sum of its proper divisors (36855932).

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

33866248 is a wasteful number, since it uses less digits than its factorization.

33866248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 729 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 33866248 is about 5819.4714536631. The cubic root of 33866248 is about 323.5358134685.

It can be divided in two parts, 338 and 66248, that multiplied together give a square (22391824 = 4732²).

The spelling of 33866248 in words is "thirty-three million, eight hundred sixty-six thousand, two hundred forty-eight".