82765731 has 16 divisors (see below), whose sum is σ = 114624000. Its totient is φ = 53082528.

The previous prime is 82765723. The next prime is 82765733. The reversal of 82765731 is 13756728.

It is not a de Polignac number, because 82765731 - 2³ = 82765723 is a prime.

It is a super-2 number, since 2×82765731² = 13700332455928722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82765731.

It is not an unprimeable number, because it can be changed into a prime (82765733) 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, 3345 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (7164000).

Almost surely, 2^82765731 is an apocalyptic number.

82765731 is a deficient number, since it is larger than the sum of its proper divisors (31858269).

82765731 is a wasteful number, since it uses less digits than its factorization.

82765731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058.

The product of its digits is 70560, while the sum is 39.

The square root of 82765731 is about 9097.5673121995. The cubic root of 82765731 is about 435.7962796409.

The spelling of 82765731 in words is "eighty-two million, seven hundred sixty-five thousand, seven hundred thirty-one".