10407 has 4 divisors (see below), whose sum is σ = 13880. Its totient is φ = 6936.

The previous prime is 10399. The next prime is 10427. The reversal of 10407 is 70401.

10407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 10407 - 2³ = 10399 is a prime.

It is a D-number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10392 and 10401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10407.

It is not an unprimeable number, because it can be changed into a prime (10427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1732 + ... + 1737.

It is an arithmetic number, because the mean of its divisors is an integer number (3470).

2¹⁰⁴⁰⁷ is an apocalyptic number.

10407 is a deficient number, since it is larger than the sum of its proper divisors (3473).

10407 is an equidigital number, since it uses as much as digits as its factorization.

10407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10407 is about 102.0147048224. The cubic root of 10407 is about 21.8327538386.

Adding to 10407 its reverse (70401), we get a palindrome (80808).

The spelling of 10407 in words is "ten thousand, four hundred seven", and thus it is an iban number.