83647629961 has 27 divisors (see below), whose sum is σ = 98740473741. Its totient is φ = 70655044824.

The previous prime is 83647629959. The next prime is 83647630013. The reversal of 83647629961 is 16992674638.

The square root of 83647629961 is 289219.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 83647629961 - 2¹ = 83647629959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83647629961.

It is not an unprimeable number, because it can be changed into a prime (83647629161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159937846 + ... + 159938368.

It is an arithmetic number, because the mean of its divisors is an integer number (3657054583).

Almost surely, 2^83647629961 is an apocalyptic number.

83647629961 is the 289219-th square number.

83647629961 is the 144610-th centered octagonal number.

It is an amenable number.

83647629961 is a deficient number, since it is larger than the sum of its proper divisors (15092843780).

83647629961 is an frugal number, since it uses more digits than its factorization.

83647629961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 609 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 61.

The spelling of 83647629961 in words is "eighty-three billion, six hundred forty-seven million, six hundred twenty-nine thousand, nine hundred sixty-one".