83961361 has 16 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 69973200.

The previous prime is 83961343. The next prime is 83961379. The reversal of 83961361 is 16316938.

83961361 is a nontrivial binomial coefficient, being equal to C(12959, 2).

It is an interprime number because it is at equal distance from previous prime (83961343) and next prime (83961379).

It is not a de Polignac number, because 83961361 - 2⁷ = 83961233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83961361.

It is not an unprimeable number, because it can be changed into a prime (83961391) 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, 1 + ... + 12958.

It is an arithmetic number, because the mean of its divisors is an integer number (6220800).

Almost surely, 2^83961361 is an apocalyptic number.

83961361 is the 12958-th triangular number.

83961361 is the 4320-th centered nonagonal number.

It is an amenable number.

83961361 is a deficient number, since it is larger than the sum of its proper divisors (15571439).

83961361 is a wasteful number, since it uses less digits than its factorization.

83961361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13020.

The product of its digits is 23328, while the sum is 37.

The square root of 83961361 is about 9163.0432171850. The cubic root of 83961361 is about 437.8847528010.

The spelling of 83961361 in words is "eighty-three million, nine hundred sixty-one thousand, three hundred sixty-one".