82657417 has 8 divisors (see below), whose sum is σ = 87616296. Its totient is φ = 77709312.

The previous prime is 82657411. The next prime is 82657427. The reversal of 82657417 is 71475628.

It can be written as a sum of positive squares in 4 ways, for example, as 52142841 + 30514576 = 7221^2 + 5524^2 .

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

It is not a de Polignac number, because 82657417 - 2³ = 82657409 is a prime.

It is a super-2 number, since 2×82657417² = 13664497170223778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82657417.

It is not an unprimeable number, because it can be changed into a prime (82657411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17493 + ... + 21709.

It is an arithmetic number, because the mean of its divisors is an integer number (10952037).

Almost surely, 2^82657417 is an apocalyptic number.

It is an amenable number.

82657417 is a deficient number, since it is larger than the sum of its proper divisors (4958879).

82657417 is a wasteful number, since it uses less digits than its factorization.

82657417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387.

The product of its digits is 94080, while the sum is 40.

The square root of 82657417 is about 9091.6124532450. The cubic root of 82657417 is about 435.6060904414.

The spelling of 82657417 in words is "eighty-two million, six hundred fifty-seven thousand, four hundred seventeen".