82767827232231 has 64 divisors (see below), whose sum is σ = 119327590886400. Its totient is φ = 50842697342976.

The previous prime is 82767827232193. The next prime is 82767827232283. The reversal of 82767827232231 is 13223272876728.

It is not a de Polignac number, because 82767827232231 - 2¹⁰ = 82767827231207 is a prime.

It is a super-2 number, since 2×82767827232231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82767827232331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4575579835 + ... + 4575597923.

It is an arithmetic number, because the mean of its divisors is an integer number (1864493607600).

Almost surely, 2^{82767827232231} is an apocalyptic number.

82767827232231 is a deficient number, since it is larger than the sum of its proper divisors (36559763654169).

82767827232231 is a wasteful number, since it uses less digits than its factorization.

82767827232231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28088.

The product of its digits is 37933056, while the sum is 60.

The spelling of 82767827232231 in words is "eighty-two trillion, seven hundred sixty-seven billion, eight hundred twenty-seven million, two hundred thirty-two thousand, two hundred thirty-one".