11407 has 8 divisors (see below), whose sum is σ = 13392. Its totient is φ = 9600.

The previous prime is 11399. The next prime is 11411. The reversal of 11407 is 70411.

11407 is nontrivially palindromic in base 7.

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 11407 - 2³ = 11399 is a prime.

It is a Duffinian number.

11407 is a modest number, since divided by 407 gives 11 as remainder.

11407 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11437) 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, 157 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

2¹¹⁴⁰⁷ is an apocalyptic number.

11407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11407 is a deficient number, since it is larger than the sum of its proper divisors (1985).

11407 is a wasteful number, since it uses less digits than its factorization.

11407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 11407 is about 106.8035579932. The cubic root of 11407 is about 22.5107767305.

Adding to 11407 its reverse (70411), we get a palindrome (81818).

The spelling of 11407 in words is "eleven thousand, four hundred seven", and thus it is an iban number.