82537344 has 48 divisors (see below), whose sum is σ = 237513120. Its totient is φ = 27512064.

The previous prime is 82537337. The next prime is 82537361. The reversal of 82537344 is 44373528.

It is a happy number.

82537344 is a `hidden beast` number, since 82 + 537 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82537299 and 82537308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34672 + ... + 36975.

It is an arithmetic number, because the mean of its divisors is an integer number (4948190).

Almost surely, 2^82537344 is an apocalyptic number.

It is an amenable number.

82537344 is an abundant number, since it is smaller than the sum of its proper divisors (154975776).

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

82537344 is a wasteful number, since it uses less digits than its factorization.

82537344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71667 (or 71652 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 82537344 is about 9085.0065492547. The cubic root of 82537344 is about 435.3950592586.

It can be divided in two parts, 8 and 2537344, that added together give a palindrome (2537352).

The spelling of 82537344 in words is "eighty-two million, five hundred thirty-seven thousand, three hundred forty-four".