113723892 has 96 divisors (see below), whose sum is σ = 313219200. Its totient is φ = 35582976.

The previous prime is 113723887. The next prime is 113723893. The reversal of 113723892 is 298327311.

It is a super-2 number, since 2×113723892² = 25866247223255328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113723893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321988 + ... + 322340.

It is an arithmetic number, because the mean of its divisors is an integer number (3262700).

Almost surely, 2^113723892 is an apocalyptic number.

113723892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113723892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156609600).

113723892 is an abundant number, since it is smaller than the sum of its proper divisors (199495308).

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

113723892 is a wasteful number, since it uses less digits than its factorization.

113723892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113723892 is about 10664.1404716930. The cubic root of 113723892 is about 484.4889817199.

The spelling of 113723892 in words is "one hundred thirteen million, seven hundred twenty-three thousand, eight hundred ninety-two".