113945 has 8 divisors (see below), whose sum is σ = 147336. Its totient is φ = 84096.

The previous prime is 113933. The next prime is 113947. The reversal of 113945 is 549311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3721 + 110224 = 61^2 + 332^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 113945 - 2¹⁰ = 112921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113945.

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 7 ways as a sum of consecutive naturals, for example, 812 + ... + 941.

It is an arithmetic number, because the mean of its divisors is an integer number (18417).

2¹¹³⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

113945 is a deficient number, since it is larger than the sum of its proper divisors (33391).

113945 is a wasteful number, since it uses less digits than its factorization.

113945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771.

The product of its digits is 540, while the sum is 23.

The square root of 113945 is about 337.5574025259. The cubic root of 113945 is about 48.4802768141.

The spelling of 113945 in words is "one hundred thirteen thousand, nine hundred forty-five".