82521725 has 48 divisors (see below), whose sum is σ = 123367104. Its totient is φ = 53952000.

The previous prime is 82521709. The next prime is 82521727. The reversal of 82521725 is 52712528.

It is a happy number.

It is not a de Polignac number, because 82521725 - 2⁴ = 82521709 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82521691 and 82521700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82521727) 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 47 ways as a sum of consecutive naturals, for example, 146294 + ... + 146856.

It is an arithmetic number, because the mean of its divisors is an integer number (2570148).

Almost surely, 2^82521725 is an apocalyptic number.

It is an amenable number.

82521725 is a deficient number, since it is larger than the sum of its proper divisors (40845379).

82521725 is a wasteful number, since it uses less digits than its factorization.

82521725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 633 counting only the distinct ones).

The product of its digits is 11200, while the sum is 32.

The square root of 82521725 is about 9084.1469054612. The cubic root of 82521725 is about 435.3675934510.

The spelling of 82521725 in words is "eighty-two million, five hundred twenty-one thousand, seven hundred twenty-five".