82813724 has 36 divisors (see below), whose sum is σ = 169294104. Its totient is φ = 35342496.

The previous prime is 82813721. The next prime is 82813769. The reversal of 82813724 is 42731828.

It is a super-2 number, since 2×82813724² = 13716225765496352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82813721) 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, 54722 + ... + 56214.

It is an arithmetic number, because the mean of its divisors is an integer number (4702614).

Almost surely, 2^82813724 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 82813724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84647052).

82813724 is an abundant number, since it is smaller than the sum of its proper divisors (86480380).

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

82813724 is a wasteful number, since it uses less digits than its factorization.

82813724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1785 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 82813724 is about 9100.2046130843. The cubic root of 82813724 is about 435.8804977879.

The spelling of 82813724 in words is "eighty-two million, eight hundred thirteen thousand, seven hundred twenty-four".