82967361 has 16 divisors (see below), whose sum is σ = 119625984. Its totient is φ = 50948864.

The previous prime is 82967351. The next prime is 82967369. The reversal of 82967361 is 16376928.

It is a happy number.

It is not a de Polignac number, because 82967361 - 2¹⁴ = 82950977 is a prime.

It is a super-3 number, since 3×82967361³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82967369) 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, 14910 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (7476624).

Almost surely, 2^82967361 is an apocalyptic number.

It is an amenable number.

82967361 is a deficient number, since it is larger than the sum of its proper divisors (36658623).

82967361 is a wasteful number, since it uses less digits than its factorization.

82967361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34680.

The product of its digits is 108864, while the sum is 42.

The square root of 82967361 is about 9108.6421051658. The cubic root of 82967361 is about 436.1498814864.

The spelling of 82967361 in words is "eighty-two million, nine hundred sixty-seven thousand, three hundred sixty-one".