82416101 has 8 divisors (see below), whose sum is σ = 83589408. Its totient is φ = 81250000.

The previous prime is 82416083. The next prime is 82416127. The reversal of 82416101 is 10161428.

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

It is a 4-Lehmer number, since φ(82416101) divides (82416101-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 82416101 - 2¹⁴ = 82399717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82416181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23726 + ... + 26976.

It is an arithmetic number, because the mean of its divisors is an integer number (10448676).

It is a Poulet number, since it divides 2^82416100-1.

Almost surely, 2^82416101 is an apocalyptic number.

It is an amenable number.

82416101 is a deficient number, since it is larger than the sum of its proper divisors (1173307).

82416101 is a wasteful number, since it uses less digits than its factorization.

82416101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 82416101 is about 9078.3313995469. The cubic root of 82416101 is about 435.1817640009.

Adding to 82416101 its reverse (10161428), we get a palindrome (92577529).

The spelling of 82416101 in words is "eighty-two million, four hundred sixteen thousand, one hundred one".