32013000 has 96 divisors (see below), whose sum is σ = 108234360. Its totient is φ = 8534400.

The previous prime is 32012999. The next prime is 32013001. The reversal of 32013000 is 31023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32012999) and next prime (32013001).

It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 28068804 = 1986^2 + 5298^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (32013001) 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 23 ways as a sum of consecutive naturals, for example, 7222 + ... + 10778.

Almost surely, 2^32013000 is an apocalyptic number.

32013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54117180).

32013000 is an abundant number, since it is smaller than the sum of its proper divisors (76221360).

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

32013000 is a wasteful number, since it uses less digits than its factorization.

32013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 32013000 is about 5658.0031813353. The cubic root of 32013000 is about 317.5231966849.

Adding to 32013000 its reverse (31023), we get a palindrome (32044023).

The spelling of 32013000 in words is "thirty-two million, thirteen thousand".