82835541 has 28 divisors (see below), whose sum is σ = 125039200. Its totient is φ = 54849960.

The previous prime is 82835537. The next prime is 82835569. The reversal of 82835541 is 14553828.

It is a happy number.

82835541 is a `hidden beast` number, since 82 + 8 + 35 + 541 = 666.

It is not a de Polignac number, because 82835541 - 2² = 82835537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82835496 and 82835505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82830541) 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 27 ways as a sum of consecutive naturals, for example, 144786 + ... + 145356.

Almost surely, 2^82835541 is an apocalyptic number.

82835541 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82835541 is a deficient number, since it is larger than the sum of its proper divisors (42203659).

82835541 is an equidigital number, since it uses as much as digits as its factorization.

82835541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 82835541 is about 9101.4032434565. The cubic root of 82835541 is about 435.9187715159.

It can be divided in two parts, 8283 and 5541, that added together give a cube (13824 = 24³).

The spelling of 82835541 in words is "eighty-two million, eight hundred thirty-five thousand, five hundred forty-one".