83677132900 has 27 divisors (see below), whose sum is σ = 181585655769. Its totient is φ = 33469696080.

The previous prime is 83677132873. The next prime is 83677132907. The reversal of 83677132900 is 923177638.

It is a happy number.

The square root of 83677132900 is 289270.

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., 30123767844 + 53553365056 = 173562^2 + 231416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83677132907) 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, 2878237 + ... + 2907163.

Almost surely, 2^83677132900 is an apocalyptic number.

83677132900 is the 289270-th square number.

It is an amenable number.

83677132900 is an abundant number, since it is smaller than the sum of its proper divisors (97908522869).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83677132900 is an frugal number, since it uses more digits than its factorization.

83677132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57868 (or 28934 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 83677132900 in words is "eighty-three billion, six hundred seventy-seven million, one hundred thirty-two thousand, nine hundred".