112784001 has 32 divisors (see below), whose sum is σ = 175177728. Its totient is φ = 63786240.

The previous prime is 112783999. The next prime is 112784003. The reversal of 112784001 is 100487211.

It is an interprime number because it is at equal distance from previous prime (112783999) and next prime (112784003).

It is not a de Polignac number, because 112784001 - 2¹ = 112783999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112784003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70456 + ... + 72038.

It is an arithmetic number, because the mean of its divisors is an integer number (5474304).

Almost surely, 2^112784001 is an apocalyptic number.

112784001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112784001 is a deficient number, since it is larger than the sum of its proper divisors (62393727).

112784001 is a wasteful number, since it uses less digits than its factorization.

112784001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 112784001 is about 10619.9812146727. The cubic root of 112784001 is about 483.1505731010.

The spelling of 112784001 in words is "one hundred twelve million, seven hundred eighty-four thousand, one".