82968041 has 16 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 68283648.

The previous prime is 82968031. The next prime is 82968049. The reversal of 82968041 is 14086928.

It is a cyclic number.

It is not a de Polignac number, because 82968041 - 2⁶ = 82967977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82967986 and 82968004.

It is not an unprimeable number, because it can be changed into a prime (82968049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5681 + ... + 14078.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^82968041 is an apocalyptic number.

It is an amenable number.

82968041 is a deficient number, since it is larger than the sum of its proper divisors (16622359).

82968041 is a wasteful number, since it uses less digits than its factorization.

82968041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19808.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 82968041 is about 9108.6794322778. The cubic root of 82968041 is about 436.1510730438.

The spelling of 82968041 in words is "eighty-two million, nine hundred sixty-eight thousand, forty-one".