32747130 has 72 divisors (see below), whose sum is σ = 92238588. Its totient is φ = 8057088.

The previous prime is 32747107. The next prime is 32747131. The reversal of 32747130 is 3174723.

It can be written as a sum of positive squares in 6 ways, for example, as 154449 + 32592681 = 393^2 + 5709^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32747094 and 32747103.

It is not an unprimeable number, because it can be changed into a prime (32747131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14134 + ... + 16286.

Almost surely, 2^32747130 is an apocalyptic number.

32747130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32747130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46119294).

32747130 is an abundant number, since it is smaller than the sum of its proper divisors (59491458).

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

32747130 is a wasteful number, since it uses less digits than its factorization.

32747130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 32747130 is about 5722.5108125717. The cubic root of 32747130 is about 319.9320493741.

It can be divided in two parts, 3274 and 7130, that added together give a square (10404 = 102²).

The spelling of 32747130 in words is "thirty-two million, seven hundred forty-seven thousand, one hundred thirty".