82776141 has 96 divisors (see below), whose sum is σ = 155952000. Its totient is φ = 43110144.

The previous prime is 82776119. The next prime is 82776143. The reversal of 82776141 is 14167728.

It is not a de Polignac number, because 82776141 - 2⁷ = 82776013 is a prime.

Its product of digits (18816) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 82776096 and 82776105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82776143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 930025 + ... + 930113.

It is an arithmetic number, because the mean of its divisors is an integer number (1624500).

Almost surely, 2^82776141 is an apocalyptic number.

It is an amenable number.

82776141 is a deficient number, since it is larger than the sum of its proper divisors (73175859).

82776141 is a wasteful number, since it uses less digits than its factorization.

82776141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 82776141 is about 9098.1394251792. The cubic root of 82776141 is about 435.8145498800.

The spelling of 82776141 in words is "eighty-two million, seven hundred seventy-six thousand, one hundred forty-one".