82454112 has 120 divisors (see below), whose sum is σ = 261255456. Its totient is φ = 25360128.

The previous prime is 82454101. The next prime is 82454161. The reversal of 82454112 is 21145428.

82454112 is a `hidden beast` number, since 8 + 245 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32473 + ... + 34919.

Almost surely, 2^82454112 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 82454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130627728).

82454112 is an abundant number, since it is smaller than the sum of its proper divisors (178801344).

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

82454112 is a wasteful number, since it uses less digits than its factorization.

82454112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2465 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 82454112 is about 9080.4246596731. The cubic root of 82454112 is about 435.2486568832.

The spelling of 82454112 in words is "eighty-two million, four hundred fifty-four thousand, one hundred twelve".