82505951 has 8 divisors (see below), whose sum is σ = 90105600. Its totient is φ = 74922840.

The previous prime is 82505909. The next prime is 82505963. The reversal of 82505951 is 15950528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82505951 - 2⁶ = 82505887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82505971) 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 7 ways as a sum of consecutive naturals, for example, 7820 + ... + 15038.

It is an arithmetic number, because the mean of its divisors is an integer number (11263200).

Almost surely, 2^82505951 is an apocalyptic number.

82505951 is a deficient number, since it is larger than the sum of its proper divisors (7599649).

82505951 is a wasteful number, since it uses less digits than its factorization.

82505951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269.

The product of its (nonzero) digits is 18000, while the sum is 35.

The square root of 82505951 is about 9083.2786481534. The cubic root of 82505951 is about 435.3398515602.

The spelling of 82505951 in words is "eighty-two million, five hundred five thousand, nine hundred fifty-one".