33097248 has 90 divisors (see below), whose sum is σ = 98207109. Its totient is φ = 10934784.

The previous prime is 33097247. The next prime is 33097261. The reversal of 33097248 is 84279033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 12194064 = 4572^2 + 3492^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4068.

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

It is not an unprimeable number, because it can be changed into a prime (33097241) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 292840 + ... + 292952.

Almost surely, 2^33097248 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 33097248

33097248 is an abundant number, since it is smaller than the sum of its proper divisors (65109861).

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

33097248 is an equidigital number, since it uses as much as digits as its factorization.

33097248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33097248 is about 5753.0207717338. The cubic root of 33097248 is about 321.0682010734.

The spelling of 33097248 in words is "thirty-three million, ninety-seven thousand, two hundred forty-eight".