82772529 has 16 divisors (see below), whose sum is σ = 127290240. Its totient is φ = 46863360.

The previous prime is 82772527. The next prime is 82772533. The reversal of 82772529 is 92527728.

It is a happy number.

It is not a de Polignac number, because 82772529 - 2¹ = 82772527 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82772527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15792 + ... + 20369.

It is an arithmetic number, because the mean of its divisors is an integer number (7955640).

Almost surely, 2^82772529 is an apocalyptic number.

It is an amenable number.

82772529 is a deficient number, since it is larger than the sum of its proper divisors (44517711).

82772529 is a wasteful number, since it uses less digits than its factorization.

82772529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36280.

The product of its digits is 141120, while the sum is 42.

The square root of 82772529 is about 9097.9409208897. The cubic root of 82772529 is about 435.8082107545.

The spelling of 82772529 in words is "eighty-two million, seven hundred seventy-two thousand, five hundred twenty-nine".