82711431 has 12 divisors (see below), whose sum is σ = 130333320. Its totient is φ = 50128080.

The previous prime is 82711373. The next prime is 82711459. The reversal of 82711431 is 13411728.

It is not a de Polignac number, because 82711431 - 2¹¹ = 82709383 is a prime.

It is a super-2 number, since 2×82711431² = 13682361636135522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82711395 and 82711404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82711331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417636 + ... + 417833.

It is an arithmetic number, because the mean of its divisors is an integer number (10861110).

Almost surely, 2^82711431 is an apocalyptic number.

82711431 is a deficient number, since it is larger than the sum of its proper divisors (47621889).

82711431 is a wasteful number, since it uses less digits than its factorization.

82711431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835486 (or 835483 counting only the distinct ones).

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

The square root of 82711431 is about 9094.5825082848. The cubic root of 82711431 is about 435.7009547015.

The spelling of 82711431 in words is "eighty-two million, seven hundred eleven thousand, four hundred thirty-one".