82337241 has 24 divisors (see below), whose sum is σ = 132429504. Its totient is φ = 44569440.

The previous prime is 82337221. The next prime is 82337261. The reversal of 82337241 is 14273328.

It is an interprime number because it is at equal distance from previous prime (82337221) and next prime (82337261).

It is not a de Polignac number, because 82337241 - 2²¹ = 80240089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82337199 and 82337208.

It is not an unprimeable number, because it can be changed into a prime (82337221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2151 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (5517896).

Almost surely, 2^82337241 is an apocalyptic number.

It is an amenable number.

82337241 is a deficient number, since it is larger than the sum of its proper divisors (50092263).

82337241 is a wasteful number, since it uses less digits than its factorization.

82337241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10890 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 82337241 is about 9073.9870509055. The cubic root of 82337241 is about 435.0429182123.

The spelling of 82337241 in words is "eighty-two million, three hundred thirty-seven thousand, two hundred forty-one".