112897820 has 48 divisors (see below), whose sum is σ = 272196288. Its totient is φ = 38530560.

The previous prime is 112897817. The next prime is 112897843. The reversal of 112897820 is 28798211.

112897820 = 4013² + 4014² + ... + 4019².

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30890 + ... + 34350.

It is an arithmetic number, because the mean of its divisors is an integer number (5670756).

Almost surely, 2^112897820 is an apocalyptic number.

112897820 is a gapful number since it is divisible by the number (10) 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 112897820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136098144).

112897820 is an abundant number, since it is smaller than the sum of its proper divisors (159298468).

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

112897820 is a wasteful number, since it uses less digits than its factorization.

112897820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 112897820 is about 10625.3385828405. The cubic root of 112897820 is about 483.3130465788.

The spelling of 112897820 in words is "one hundred twelve million, eight hundred ninety-seven thousand, eight hundred twenty".