113958 has 24 divisors (see below), whose sum is σ = 266448. Its totient is φ = 34992.

The previous prime is 113957. The next prime is 113963. The reversal of 113958 is 859311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (11102).

2¹¹³⁹⁵⁸ is an apocalyptic number.

113958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133224).

113958 is an abundant number, since it is smaller than the sum of its proper divisors (152490).

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

113958 is a wasteful number, since it uses less digits than its factorization.

113958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 113958 is about 337.5766579608. The cubic root of 113958 is about 48.4821204510.

It can be divided in two parts, 11 and 3958, that added together give a square (3969 = 63²).

The spelling of 113958 in words is "one hundred thirteen thousand, nine hundred fifty-eight".