113408 has 18 divisors (see below), whose sum is σ = 226884. Its totient is φ = 56576.

The previous prime is 113383. The next prime is 113417. The reversal of 113408 is 804311.

It is a happy number.

It is a super-2 number, since 2×113408² = 25722748928, which contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 35 + ... + 477.

2¹¹³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113442).

113408 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113408 is an frugal number, since it uses more digits than its factorization.

113408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 113408 is about 336.7610428776. The cubic root of 113408 is about 48.4039975752.

Adding to 113408 its reverse (804311), we get a palindrome (917719).

The spelling of 113408 in words is "one hundred thirteen thousand, four hundred eight".