814112 has 48 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 352512.

The previous prime is 814097. The next prime is 814127. The reversal of 814112 is 211418.

It is an interprime number because it is at equal distance from previous prime (814097) and next prime (814127).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

814112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7853 + ... + 7955.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁸¹⁴¹¹² 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 814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

814112 is an abundant number, since it is smaller than the sum of its proper divisors (1020448).

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

814112 is a wasteful number, since it uses less digits than its factorization.

814112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 814112 is about 902.2815525101. The cubic root of 814112 is about 93.3744490050.

It can be divided in two parts, 8 and 14112, that multiplied together give a square (112896 = 336²).

The spelling of 814112 in words is "eight hundred fourteen thousand, one hundred twelve".