82376541 has 32 divisors (see below), whose sum is σ = 135000320. Its totient is φ = 49315392.

The previous prime is 82376527. The next prime is 82376557. The reversal of 82376541 is 14567328.

82376541 is a `hidden beast` number, since 82 + 37 + 6 + 541 = 666.

It is not a de Polignac number, because 82376541 - 2²³ = 73987933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82376496 and 82376505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82376521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9816 + ... + 16158.

It is an arithmetic number, because the mean of its divisors is an integer number (4218760).

Almost surely, 2^82376541 is an apocalyptic number.

It is an amenable number.

82376541 is a deficient number, since it is larger than the sum of its proper divisors (52623779).

82376541 is a wasteful number, since it uses less digits than its factorization.

82376541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6396 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 82376541 is about 9076.1523235345. The cubic root of 82376541 is about 435.1121232970.

The spelling of 82376541 in words is "eighty-two million, three hundred seventy-six thousand, five hundred forty-one".