81145314 has 80 divisors (see below), whose sum is σ = 196368480. Its totient is φ = 24960960.

The previous prime is 81145313. The next prime is 81145327. The reversal of 81145314 is 41354118.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (81145313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125877 + ... + 126519.

It is an arithmetic number, because the mean of its divisors is an integer number (2454606).

Almost surely, 2^81145314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81145314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98184240).

81145314 is an abundant number, since it is smaller than the sum of its proper divisors (115223166).

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

81145314 is a wasteful number, since it uses less digits than its factorization.

81145314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 81145314 is about 9008.0693825037. The cubic root of 81145314 is about 432.9334560929.

The spelling of 81145314 in words is "eighty-one million, one hundred forty-five thousand, three hundred fourteen".