82152971 has 8 divisors (see below), whose sum is σ = 84588000. Its totient is φ = 79738560.

The previous prime is 82152953. The next prime is 82152989. The reversal of 82152971 is 17925128.

It is an interprime number because it is at equal distance from previous prime (82152953) and next prime (82152989).

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 82152971 - 2⁶ = 82152907 is a prime.

It is a super-2 number, since 2×82152971² = 13498221288253682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82152901) 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 7 ways as a sum of consecutive naturals, for example, 3125 + ... + 13193.

It is an arithmetic number, because the mean of its divisors is an integer number (10573500).

Almost surely, 2^82152971 is an apocalyptic number.

82152971 is a deficient number, since it is larger than the sum of its proper divisors (2435029).

82152971 is a wasteful number, since it uses less digits than its factorization.

82152971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309.

The product of its digits is 10080, while the sum is 35.

The square root of 82152971 is about 9063.8276131003. The cubic root of 82152971 is about 434.7181351002.

The spelling of 82152971 in words is "eighty-two million, one hundred fifty-two thousand, nine hundred seventy-one".