113407 has 8 divisors (see below), whose sum is σ = 137376. Its totient is φ = 91392.

The previous prime is 113383. The next prime is 113417. The reversal of 113407 is 704311.

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

It is not a de Polignac number, because 113407 - 2⁷ = 113279 is a prime.

It is a super-2 number, since 2×113407² = 25722295298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113417) 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, 358 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (17172).

2¹¹³⁴⁰⁷ is an apocalyptic number.

113407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

113407 is a deficient number, since it is larger than the sum of its proper divisors (23969).

113407 is an equidigital number, since it uses as much as digits as its factorization.

113407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 113407 is about 336.7595581420. The cubic root of 113407 is about 48.4038553039.

Adding to 113407 its reverse (704311), we get a palindrome (817718).

The spelling of 113407 in words is "one hundred thirteen thousand, four hundred seven".