82437140 has 48 divisors (see below), whose sum is σ = 181213200. Its totient is φ = 31460352.

The previous prime is 82437133. The next prime is 82437161. The reversal of 82437140 is 4173428.

It can be written as a sum of positive squares in 8 ways, for example, as 11641744 + 70795396 = 3412^2 + 8414^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50822 + ... + 52418.

It is an arithmetic number, because the mean of its divisors is an integer number (3775275).

Almost surely, 2^82437140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82437140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90606600).

82437140 is an abundant number, since it is smaller than the sum of its proper divisors (98776060).

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

82437140 is a wasteful number, since it uses less digits than its factorization.

82437140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 82437140 is about 9079.4900737872. The cubic root of 82437140 is about 435.2187915964.

The spelling of 82437140 in words is "eighty-two million, four hundred thirty-seven thousand, one hundred forty".