82764245 has 16 divisors (see below), whose sum is σ = 106135920. Its totient is φ = 61737984.

The previous prime is 82764223. The next prime is 82764257. The reversal of 82764245 is 54246728.

It can be written as a sum of positive squares in 8 ways, for example, as 208849 + 82555396 = 457^2 + 9086^2 .

It is a cyclic number.

It is not a de Polignac number, because 82764245 - 2¹² = 82760149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82764199 and 82764208.

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, 4799 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (6633495).

Almost surely, 2^82764245 is an apocalyptic number.

82764245 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82764245 is a deficient number, since it is larger than the sum of its proper divisors (23371675).

82764245 is a wasteful number, since it uses less digits than its factorization.

82764245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064.

The product of its digits is 107520, while the sum is 38.

The square root of 82764245 is about 9097.4856416485. The cubic root of 82764245 is about 435.7936714876.

It can be divided in two parts, 8276 and 4245, that added together give a palindrome (12521).

The spelling of 82764245 in words is "eighty-two million, seven hundred sixty-four thousand, two hundred forty-five".