82182753 has 12 divisors (see below), whose sum is σ = 119760420. Its totient is φ = 54302976.

The previous prime is 82182731. The next prime is 82182757. The reversal of 82182753 is 35728128.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 56295009 = 5088^2 + 7503^2 .

It is not a de Polignac number, because 82182753 - 2⁵ = 82182721 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82182757) 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, 39388 + ... + 41421.

It is an arithmetic number, because the mean of its divisors is an integer number (9980035).

Almost surely, 2^82182753 is an apocalyptic number.

It is an amenable number.

82182753 is a deficient number, since it is larger than the sum of its proper divisors (37577667).

82182753 is a wasteful number, since it uses less digits than its factorization.

82182753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80928 (or 80925 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 82182753 is about 9065.4703683813. The cubic root of 82182753 is about 434.7706599254.

The spelling of 82182753 in words is "eighty-two million, one hundred eighty-two thousand, seven hundred fifty-three".