82354817 has 18 divisors (see below), whose sum is σ = 91389762. Its totient is φ = 73953600.

The previous prime is 82354799. The next prime is 82354823. The reversal of 82354817 is 71845328.

It can be written as a sum of positive squares in only one way, i.e., 77510416 + 4844401 = 8804^2 + 2201^2 .

It is not a de Polignac number, because 82354817 - 2¹⁴ = 82338433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82354897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1159892 + ... + 1159962.

It is an arithmetic number, because the mean of its divisors is an integer number (5077209).

Almost surely, 2^82354817 is an apocalyptic number.

It is an amenable number.

82354817 is a deficient number, since it is larger than the sum of its proper divisors (9034945).

82354817 is an equidigital number, since it uses as much as digits as its factorization.

82354817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 119 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 82354817 is about 9074.9554819845. The cubic root of 82354817 is about 435.0738712789.

The spelling of 82354817 in words is "eighty-two million, three hundred fifty-four thousand, eight hundred seventeen".