82763601 has 16 divisors (see below), whose sum is σ = 117364800. Its totient is φ = 51729408.

The previous prime is 82763579. The next prime is 82763609. The reversal of 82763601 is 10636728.

It is not a de Polignac number, because 82763601 - 2¹⁰ = 82762577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82763609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1956 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (7335300).

Almost surely, 2^82763601 is an apocalyptic number.

It is an amenable number.

82763601 is a deficient number, since it is larger than the sum of its proper divisors (34601199).

82763601 is a wasteful number, since it uses less digits than its factorization.

82763601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15088.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 82763601 is about 9097.4502471846. The cubic root of 82763601 is about 435.7925411611.

The spelling of 82763601 in words is "eighty-two million, seven hundred sixty-three thousand, six hundred one".