82590849 has 36 divisors (see below), whose sum is σ = 132268500. Its totient is φ = 49621440.

The previous prime is 82590847. The next prime is 82590857. The reversal of 82590849 is 94809528.

It can be written as a sum of positive squares in 2 ways, for example, as 37271025 + 45319824 = 6105^2 + 6732^2 .

It is not a de Polignac number, because 82590849 - 2¹ = 82590847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82590841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162007 + ... + 162515.

It is an arithmetic number, because the mean of its divisors is an integer number (3674125).

Almost surely, 2^82590849 is an apocalyptic number.

It is an amenable number.

82590849 is a deficient number, since it is larger than the sum of its proper divisors (49677651).

82590849 is a wasteful number, since it uses less digits than its factorization.

82590849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 82590849 is about 9087.9507591096. The cubic root of 82590849 is about 435.4891208452.

The spelling of 82590849 in words is "eighty-two million, five hundred ninety thousand, eight hundred forty-nine".