12407 has 4 divisors (see below), whose sum is σ = 13080. Its totient is φ = 11736.

The previous prime is 12401. The next prime is 12409. The reversal of 12407 is 70421.

It is a happy number.

12407 is digitally balanced in base 3, 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, and also an emirpimes, since its reverse is a distinct semiprime: 70421 = 13 ⋅5417.

It is a cyclic number.

It is not a de Polignac number, because 12407 - 2^{4} = 12391 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 12391 and 12400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (3270).

2^{12407} is an apocalyptic number.

12407 is a deficient number, since it is larger than the sum of its proper divisors (673).

12407 is an equidigital number, since it uses as much as digits as its factorization.

12407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 12407 is about 111.3867137499. The cubic root of 12407 is about 23.1502451355.

Adding to 12407 its sum of digits (14), we get a palindrome (12421).

Adding to 12407 its reverse (70421), we get a palindrome (82828).

It can be divided in two parts, 12 and 407, that multiplied together give a palindrome (4884).

The spelling of 12407 in words is "twelve thousand, four hundred seven", and thus it is an iban number.

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