32413000 has 32 divisors (see below), whose sum is σ = 75848760. Its totient is φ = 12964800.

The previous prime is 32412979. The next prime is 32413009. The reversal of 32413000 is 31423.

It can be written as a sum of positive squares in 4 ways, for example, as 17156164 + 15256836 = 4142^2 + 3906^2 .

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (32413009) 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 7 ways as a sum of consecutive naturals, for example, 15207 + ... + 17206.

Almost surely, 2^32413000 is an apocalyptic number.

It is an amenable number.

32413000 is an abundant number, since it is smaller than the sum of its proper divisors (43435760).

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

32413000 is a wasteful number, since it uses less digits than its factorization.

32413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32434 (or 32420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 32413000 is about 5693.2416073798. The cubic root of 32413000 is about 318.8402025887.

Adding to 32413000 its reverse (31423), we get a palindrome (32444423).

It can be divided in two parts, 3241 and 3000, that added together give a square (6241 = 79²).

The spelling of 32413000 in words is "thirty-two million, four hundred thirteen thousand".