33788125 has 20 divisors (see below), whose sum is σ = 48259552. Its totient is φ = 23166000.

The previous prime is 33788089. The next prime is 33788191. The reversal of 33788125 is 52188733.

It is not a de Polignac number, because 33788125 - 2²⁵ = 233693 is a prime.

It is a super-2 number, since 2×33788125² = 2283274782031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 514 + ... + 8236.

Almost surely, 2^33788125 is an apocalyptic number.

33788125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33788125 is a deficient number, since it is larger than the sum of its proper divisors (14471427).

33788125 is an frugal number, since it uses more digits than its factorization.

33788125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7735 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 33788125 is about 5812.7553707343. The cubic root of 33788125 is about 323.2868433767.

It can be divided in two parts, 3 and 3788125, that added together give a triangular number (3788128 = T₂₇₅₂).

The spelling of 33788125 in words is "thirty-three million, seven hundred eighty-eight thousand, one hundred twenty-five".