82113365 has 16 divisors (see below), whose sum is σ = 101542896. Its totient is φ = 63705600.

The previous prime is 82113341. The next prime is 82113373. The reversal of 82113365 is 56331128.

It can be written as a sum of positive squares in 8 ways, for example, as 9284209 + 72829156 = 3047^2 + 8534^2 .

It is not a de Polignac number, because 82113365 - 2⁶ = 82113301 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35999 + ... + 38211.

It is an arithmetic number, because the mean of its divisors is an integer number (6346431).

Almost surely, 2^82113365 is an apocalyptic number.

It is an amenable number.

82113365 is a deficient number, since it is larger than the sum of its proper divisors (19429531).

82113365 is a wasteful number, since it uses less digits than its factorization.

82113365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440.

The product of its digits is 4320, while the sum is 29.

The square root of 82113365 is about 9061.6425111566. The cubic root of 82113365 is about 434.6482645735.

The spelling of 82113365 in words is "eighty-two million, one hundred thirteen thousand, three hundred sixty-five".