82706445 has 48 divisors (see below), whose sum is σ = 153973872. Its totient is φ = 40919040.

The previous prime is 82706431. The next prime is 82706461. The reversal of 82706445 is 54460728.

82706445 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 644 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 459684 + 82246761 = 678^2 + 9069^2 .

It is not a de Polignac number, because 82706445 - 2⁶ = 82706381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55105 + ... + 56585.

It is an arithmetic number, because the mean of its divisors is an integer number (3207789).

Almost surely, 2^82706445 is an apocalyptic number.

82706445 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82706445 is a deficient number, since it is larger than the sum of its proper divisors (71267427).

82706445 is a wasteful number, since it uses less digits than its factorization.

82706445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 82706445 is about 9094.3083849186. The cubic root of 82706445 is about 435.6921995690.

The spelling of 82706445 in words is "eighty-two million, seven hundred six thousand, four hundred forty-five".