113948 has 12 divisors (see below), whose sum is σ = 203112. Its totient is φ = 55920.

The previous prime is 113947. The next prime is 113957. The reversal of 113948 is 849311.

113948 = 29³ + 30³ + ... + 32³.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2¹¹³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

113948 is a deficient number, since it is larger than the sum of its proper divisors (89164).

113948 is a wasteful number, since it uses less digits than its factorization.

113948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 113948 is about 337.5618461853. The cubic root of 113948 is about 48.4807022812.

The spelling of 113948 in words is "one hundred thirteen thousand, nine hundred forty-eight".