82492641 has 32 divisors (see below), whose sum is σ = 152371200. Its totient is φ = 42852240.

The previous prime is 82492637. The next prime is 82492649. The reversal of 82492641 is 14629428.

82492641 is a `hidden beast` number, since 8 + 2 + 4 + 9 + 2 + 641 = 666.

It is not a de Polignac number, because 82492641 - 2² = 82492637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82492596 and 82492605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82492649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17761 + ... + 21918.

It is an arithmetic number, because the mean of its divisors is an integer number (4761600).

Almost surely, 2^82492641 is an apocalyptic number.

It is an amenable number.

82492641 is a deficient number, since it is larger than the sum of its proper divisors (69878559).

82492641 is a wasteful number, since it uses less digits than its factorization.

82492641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39706 (or 39700 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82492641 is about 9082.5459536410. The cubic root of 82492641 is about 435.3164403801.

The spelling of 82492641 in words is "eighty-two million, four hundred ninety-two thousand, six hundred forty-one".