82257963 has 16 divisors (see below), whose sum is σ = 111171840. Its totient is φ = 54095904.

The previous prime is 82257947. The next prime is 82257997. The reversal of 82257963 is 36975228.

It is not a de Polignac number, because 82257963 - 2⁴ = 82257947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82257163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157020 + ... + 157542.

It is an arithmetic number, because the mean of its divisors is an integer number (6948240).

Almost surely, 2^82257963 is an apocalyptic number.

82257963 is a deficient number, since it is larger than the sum of its proper divisors (28913877).

82257963 is a wasteful number, since it uses less digits than its factorization.

82257963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138.

The product of its digits is 181440, while the sum is 42.

The square root of 82257963 is about 9069.6175773844. The cubic root of 82257963 is about 434.9032470773.

It can be divided in two parts, 822 and 57963, that added together give a palindrome (58785).

The spelling of 82257963 in words is "eighty-two million, two hundred fifty-seven thousand, nine hundred sixty-three".