32125000 has 56 divisors (see below), whose sum is σ = 75584970. Its totient is φ = 12800000.

The previous prime is 32124977. The next prime is 32125001. The reversal of 32125000 is 52123.

It can be written as a sum of positive squares in 7 ways, for example, as 7064964 + 25060036 = 2658^2 + 5006^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32125001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124872 + ... + 125128.

Almost surely, 2^32125000 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 32125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37792485).

32125000 is an abundant number, since it is smaller than the sum of its proper divisors (43459970).

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

32125000 is an frugal number, since it uses more digits than its factorization.

32125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 32125000 is about 5667.8920243773. The cubic root of 32125000 is about 317.8930589867.

Adding to 32125000 its reverse (52123), we get a palindrome (32177123).

It can be divided in two parts, 32 and 125000, that multiplied together give a square (4000000 = 2000²).

The spelling of 32125000 in words is "thirty-two million, one hundred twenty-five thousand".