82711314 has 48 divisors (see below), whose sum is σ = 213818400. Its totient is φ = 23631048.

The previous prime is 82711261. The next prime is 82711319. The reversal of 82711314 is 41311728.

It is a super-2 number, since 2×82711314² = 13682322927213192, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82711319) 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, 12984 + ... + 18275.

It is an arithmetic number, because the mean of its divisors is an integer number (4454550).

Almost surely, 2^82711314 is an apocalyptic number.

82711314 is an abundant number, since it is smaller than the sum of its proper divisors (131107086).

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

82711314 is a wasteful number, since it uses less digits than its factorization.

82711314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31284 (or 31271 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 82711314 is about 9094.5760758817. The cubic root of 82711314 is about 435.7007492602.

The spelling of 82711314 in words is "eighty-two million, seven hundred eleven thousand, three hundred fourteen".