83932463521 has 9 divisors (see below), whose sum is σ = 84313997299. Its totient is φ = 83552652400.

The previous prime is 83932463519. The next prime is 83932463543. The reversal of 83932463521 is 12536423938.

The square root of 83932463521 is 289711.

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., 56720661921 + 27211801600 = 238161^2 + 164960^2 .

It is not a de Polignac number, because 83932463521 - 2¹ = 83932463519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83932443521) 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, 81408276 + ... + 81409306.

Almost surely, 2^83932463521 is an apocalyptic number.

83932463521 is the 289711-st square number.

83932463521 is the 144856-th centered octagonal number.

It is an amenable number.

83932463521 is a deficient number, since it is larger than the sum of its proper divisors (381533778).

83932463521 is an frugal number, since it uses more digits than its factorization.

83932463521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 1312 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The spelling of 83932463521 in words is "eighty-three billion, nine hundred thirty-two million, four hundred sixty-three thousand, five hundred twenty-one".