82752309 has 12 divisors (see below), whose sum is σ = 122447052. Its totient is φ = 53822400.

The previous prime is 82752287. The next prime is 82752331. The reversal of 82752309 is 90325728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82752287) and next prime (82752331).

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 80730225 = 1422^2 + 8985^2 .

It is not a de Polignac number, because 82752309 - 2⁸ = 82752053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82752389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111762 + ... + 112499.

It is an arithmetic number, because the mean of its divisors is an integer number (10203921).

Almost surely, 2^82752309 is an apocalyptic number.

It is an amenable number.

82752309 is a deficient number, since it is larger than the sum of its proper divisors (39694743).

82752309 is a wasteful number, since it uses less digits than its factorization.

82752309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224308 (or 224305 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82752309 is about 9096.8296125628. The cubic root of 82752309 is about 435.7727208813.

The spelling of 82752309 in words is "eighty-two million, seven hundred fifty-two thousand, three hundred nine".