82052541 has 16 divisors (see below), whose sum is σ = 122521600. Its totient is φ = 54268704.

The previous prime is 82052527. The next prime is 82052543. The reversal of 82052541 is 14525028.

It is a happy number.

It is not a de Polignac number, because 82052541 - 2¹⁰ = 82051517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82052543) 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 15 ways as a sum of consecutive naturals, for example, 8536 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (7657600).

Almost surely, 2^82052541 is an apocalyptic number.

It is an amenable number.

82052541 is a deficient number, since it is larger than the sum of its proper divisors (40469059).

82052541 is a wasteful number, since it uses less digits than its factorization.

82052541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24065 (or 24059 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 82052541 is about 9058.2857649778. The cubic root of 82052541 is about 434.5409187664.

Adding to 82052541 its reverse (14525028), we get a palindrome (96577569).

It can be divided in two parts, 820 and 52541, that added together give a square (53361 = 231²).

The spelling of 82052541 in words is "eighty-two million, fifty-two thousand, five hundred forty-one".