32400013 has 8 divisors (see below), whose sum is σ = 33112800. Its totient is φ = 31691088.

The previous prime is 32400007. The next prime is 32400019. The reversal of 32400013 is 31000423.

It is an interprime number because it is at equal distance from previous prime (32400007) and next prime (32400019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32400013 - 2⁵ = 32399981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32399966 and 32400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32400019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21478 + ... + 22936.

It is an arithmetic number, because the mean of its divisors is an integer number (4139100).

Almost surely, 2^32400013 is an apocalyptic number.

It is an amenable number.

32400013 is a deficient number, since it is larger than the sum of its proper divisors (712787).

32400013 is a wasteful number, since it uses less digits than its factorization.

32400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931.

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

The square root of 32400013 is about 5692.1009302366. The cubic root of 32400013 is about 318.7976133923.

Adding to 32400013 its reverse (31000423), we get a palindrome (63400436).

The spelling of 32400013 in words is "thirty-two million, four hundred thousand, thirteen".