83607961 has 18 divisors (see below), whose sum is σ = 91556586. Its totient is φ = 76334400.

The previous prime is 83607947. The next prime is 83607973. The reversal of 83607961 is 16970638.

It can be written as a sum of positive squares in only one way, i.e., 78057225 + 5550736 = 8835^2 + 2356^2 .

It is not a de Polignac number, because 83607961 - 2⁵ = 83607929 is a prime.

It is a super-3 number, since 3×83607961³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83607911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 346801 + ... + 347041.

It is an arithmetic number, because the mean of its divisors is an integer number (5086477).

Almost surely, 2^83607961 is an apocalyptic number.

It is an amenable number.

83607961 is a deficient number, since it is larger than the sum of its proper divisors (7948625).

83607961 is a wasteful number, since it uses less digits than its factorization.

83607961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 83607961 is about 9143.7388960972. The cubic root of 83607961 is about 437.2695249744.

The spelling of 83607961 in words is "eighty-three million, six hundred seven thousand, nine hundred sixty-one".