82513431 has 128 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 38102400.

The previous prime is 82513399. The next prime is 82513469. The reversal of 82513431 is 13431528.

It is a happy number.

It is not a de Polignac number, because 82513431 - 2⁵ = 82513399 is a prime.

It is a super-2 number, since 2×82513431² = 13616932590783522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82513395 and 82513404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82513471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1162126 + ... + 1162196.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^82513431 is an apocalyptic number.

82513431 is an abundant number, since it is smaller than the sum of its proper divisors (87798249).

82513431 is a wasteful number, since it uses less digits than its factorization.

82513431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 82513431 is about 9083.6903844198. The cubic root of 82513431 is about 435.3530071514.

Adding to 82513431 its reverse (13431528), we get a palindrome (95944959).

It can be divided in two parts, 82513 and 431, that added together give a square (82944 = 288²).

The spelling of 82513431 in words is "eighty-two million, five hundred thirteen thousand, four hundred thirty-one".