82754112 has 112 divisors (see below), whose sum is σ = 254243840. Its totient is φ = 23265792.

The previous prime is 82754107. The next prime is 82754117. The reversal of 82754112 is 21145728.

It is an interprime number because it is at equal distance from previous prime (82754107) and next prime (82754117).

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 82754112.

It is not an unprimeable number, because it can be changed into a prime (82754117) 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 15 ways as a sum of consecutive naturals, for example, 89589 + ... + 90507.

Almost surely, 2^82754112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127121920).

82754112 is an abundant number, since it is smaller than the sum of its proper divisors (171489728).

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

82754112 is a wasteful number, since it uses less digits than its factorization.

82754112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 998 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 82754112 is about 9096.9287124831. The cubic root of 82754112 is about 435.7758857175.

The spelling of 82754112 in words is "eighty-two million, seven hundred fifty-four thousand, one hundred twelve".