82437642 has 48 divisors (see below), whose sum is σ = 209814720. Its totient is φ = 23503176.

The previous prime is 82437629. The next prime is 82437647. The reversal of 82437642 is 24673428.

82437642 is a `hidden beast` number, since 8 + 2 + 4 + 3 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82437597 and 82437606.

It is not an unprimeable number, because it can be changed into a prime (82437647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176293 + ... + 176759.

It is an arithmetic number, because the mean of its divisors is an integer number (4371140).

Almost surely, 2^82437642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82437642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104907360).

82437642 is an abundant number, since it is smaller than the sum of its proper divisors (127377078).

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

82437642 is an equidigital number, since it uses as much as digits as its factorization.

82437642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 479 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82437642 is about 9079.5177184694. The cubic root of 82437642 is about 435.2196750145.

The spelling of 82437642 in words is "eighty-two million, four hundred thirty-seven thousand, six hundred forty-two".