33125000 has 64 divisors (see below), whose sum is σ = 79101360. Its totient is φ = 13000000.

The previous prime is 33124981. The next prime is 33125009. The reversal of 33125000 is 52133.

It can be written as a sum of positive squares in 8 ways, for example, as 28026436 + 5098564 = 5294^2 + 2258^2 .

It is not an unprimeable number, because it can be changed into a prime (33125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624974 + ... + 625026.

Almost surely, 2^33125000 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 33125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39550680).

33125000 is an abundant number, since it is smaller than the sum of its proper divisors (45976360).

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

33125000 is an frugal number, since it uses more digits than its factorization.

33125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 33125000 is about 5755.4322166107. The cubic root of 33125000 is about 321.1579144281.

Adding to 33125000 its reverse (52133), we get a palindrome (33177133).

The spelling of 33125000 in words is "thirty-three million, one hundred twenty-five thousand".