82393645 has 16 divisors (see below), whose sum is σ = 105660720. Its totient is φ = 61461504.

The previous prime is 82393637. The next prime is 82393657. The reversal of 82393645 is 54639328.

It can be written as a sum of positive squares in 8 ways, for example, as 56169 + 82337476 = 237^2 + 9074^2 .

It is a cyclic number.

It is not a de Polignac number, because 82393645 - 2³ = 82393637 is a prime.

It is a super-3 number, since 3×82393645³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82393598 and 82393607.

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, 4819 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (6603795).

Almost surely, 2^82393645 is an apocalyptic number.

82393645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82393645 is a deficient number, since it is larger than the sum of its proper divisors (23267075).

82393645 is a wasteful number, since it uses less digits than its factorization.

82393645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024.

The product of its digits is 155520, while the sum is 40.

The square root of 82393645 is about 9077.0945241305. The cubic root of 82393645 is about 435.1422356026.

It can be divided in two parts, 82393 and 645, that added together give a palindrome (83038).

The spelling of 82393645 in words is "eighty-two million, three hundred ninety-three thousand, six hundred forty-five".