82723761 has 24 divisors (see below), whose sum is σ = 125789664. Its totient is φ = 54315360.

The previous prime is 82723699. The next prime is 82723763. The reversal of 82723761 is 16732728.

It is not a de Polignac number, because 82723761 - 2⁷ = 82723633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82723763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13741 + ... + 18821.

It is an arithmetic number, because the mean of its divisors is an integer number (5241236).

Almost surely, 2^82723761 is an apocalyptic number.

82723761 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82723761 is a deficient number, since it is larger than the sum of its proper divisors (43065903).

82723761 is an equidigital number, since it uses as much as digits as its factorization.

82723761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5163 (or 5151 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82723761 is about 9095.2603591101. The cubic root of 82723761 is about 435.7226039696.

The spelling of 82723761 in words is "eighty-two million, seven hundred twenty-three thousand, seven hundred sixty-one".