82314144 has 120 divisors (see below), whose sum is σ = 264182688. Its totient is φ = 24935040.

The previous prime is 82314139. The next prime is 82314149. The reversal of 82314144 is 44141328.

It is an interprime number because it is at equal distance from previous prime (82314139) and next prime (82314149).

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

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

It is not an unprimeable number, because it can be changed into a prime (82314149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27069 + ... + 29955.

Almost surely, 2^82314144 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 82314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132091344).

82314144 is an abundant number, since it is smaller than the sum of its proper divisors (181868544).

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

82314144 is a wasteful number, since it uses less digits than its factorization.

82314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2903 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 82314144 is about 9072.7142575968. The cubic root of 82314144 is about 435.0022354225.

The spelling of 82314144 in words is "eighty-two million, three hundred fourteen thousand, one hundred forty-four".