84990323961 has 9 divisors (see below), whose sum is σ = 122765064591. Its totient is φ = 56659632912.

The previous prime is 84990323947. The next prime is 84990323963. The reversal of 84990323961 is 16932309948.

The square root of 84990323961 is 291531.

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

It can be written as a sum of positive squares in only one way, i.e., 69150591225 + 15839732736 = 262965^2 + 125856^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 84990323961 - 2²⁵ = 84956769529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84990323898 and 84990323907.

It is not an unprimeable number, because it can be changed into a prime (84990323963) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 826005 + ... + 923181.

Almost surely, 2^84990323961 is an apocalyptic number.

84990323961 is the 291531-st square number.

84990323961 is the 145766-th centered octagonal number.

It is an amenable number.

84990323961 is a deficient number, since it is larger than the sum of its proper divisors (37774740630).

84990323961 is an frugal number, since it uses more digits than its factorization.

84990323961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194360 (or 97180 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 84990323961 in words is "eighty-four billion, nine hundred ninety million, three hundred twenty-three thousand, nine hundred sixty-one".