82541529 has 36 divisors (see below), whose sum is σ = 146006640. Its totient is φ = 44679600.

The previous prime is 82541507. The next prime is 82541551. The reversal of 82541529 is 92514528.

82541529 is a `hidden beast` number, since 82 + 54 + 1 + 529 = 666.

It is an interprime number because it is at equal distance from previous prime (82541507) and next prime (82541551).

It is not a de Polignac number, because 82541529 - 2⁵ = 82541497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82541493 and 82541502.

It is not an unprimeable number, because it can be changed into a prime (82541029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3454 + ... + 13304.

It is an arithmetic number, because the mean of its divisors is an integer number (4055740).

Almost surely, 2^82541529 is an apocalyptic number.

It is an amenable number.

82541529 is a deficient number, since it is larger than the sum of its proper divisors (63465111).

82541529 is a wasteful number, since it uses less digits than its factorization.

82541529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9880 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 82541529 is about 9085.2368708801. The cubic root of 82541529 is about 435.4024179379.

The spelling of 82541529 in words is "eighty-two million, five hundred forty-one thousand, five hundred twenty-nine".