82032741 has 12 divisors (see below), whose sum is σ = 135419232. Its totient is φ = 46875816.

The previous prime is 82032707. The next prime is 82032751. The reversal of 82032741 is 14723028.

It is not a de Polignac number, because 82032741 - 2¹⁰ = 82031717 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82032751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 650991 + ... + 651116.

It is an arithmetic number, because the mean of its divisors is an integer number (11284936).

Almost surely, 2^82032741 is an apocalyptic number.

It is an amenable number.

82032741 is a deficient number, since it is larger than the sum of its proper divisors (53386491).

82032741 is a wasteful number, since it uses less digits than its factorization.

82032741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302120 (or 1302117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82032741 is about 9057.1927770143. The cubic root of 82032741 is about 434.5059631057.

Adding to 82032741 its reverse (14723028), we get a palindrome (96755769).

It can be divided in two parts, 8203274 and 1, that added together give a triangular number (8203275 = T₄₀₅₀).

The spelling of 82032741 in words is "eighty-two million, thirty-two thousand, seven hundred forty-one".