113004 has 36 divisors (see below), whose sum is σ = 296296. Its totient is φ = 36288.

The previous prime is 112997. The next prime is 113011. The reversal of 113004 is 400311.

113004 = T₁₅ + T₁₆ + ... + T₈₇.

It is an interprime number because it is at equal distance from previous prime (112997) and next prime (113011).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1512 + ... + 1584.

2¹¹³⁰⁰⁴ 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 113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148148).

113004 is an abundant number, since it is smaller than the sum of its proper divisors (183292).

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

113004 is a wasteful number, since it uses less digits than its factorization.

113004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113004 is about 336.1606758680. The cubic root of 113004 is about 48.3464517173.

Adding to 113004 its reverse (400311), we get a palindrome (513315).

The spelling of 113004 in words is "one hundred thirteen thousand, four".