81514200 has 96 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 21509760.

The previous prime is 81514193. The next prime is 81514207. The reversal of 81514200 is 241518.

It is an interprime number because it is at equal distance from previous prime (81514193) and next prime (81514207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81514207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61141 + ... + 62459.

It is an arithmetic number, because the mean of its divisors is an integer number (2659800).

Almost surely, 2^81514200 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 81514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

81514200 is an abundant number, since it is smaller than the sum of its proper divisors (173826600).

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

81514200 is a wasteful number, since it uses less digits than its factorization.

81514200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 81514200 is about 9028.5214736412. The cubic root of 81514200 is about 433.5885019168.

Adding to 81514200 its reverse (241518), we get a palindrome (81755718).

The spelling of 81514200 in words is "eighty-one million, five hundred fourteen thousand, two hundred".