83992734225 has 45 divisors (see below), whose sum is σ = 151530466763. Its totient is φ = 44473850640.

The previous prime is 83992734169. The next prime is 83992734239. The reversal of 83992734225 is 52243729938.

The square root of 83992734225 is 289815.

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

83992734225 is a `hidden beast` number, since 8 + 399 + 27 + 3 + 4 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30237384321 + 53755349904 = 173889^2 + 231852^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 83992734225 - 2¹¹ = 83992732177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 604264206 + ... + 604264344.

Almost surely, 2^83992734225 is an apocalyptic number.

83992734225 is the 289815-th square number.

83992734225 is the 144908-th centered octagonal number.

It is an amenable number.

83992734225 is a deficient number, since it is larger than the sum of its proper divisors (67537732538).

83992734225 is an frugal number, since it uses more digits than its factorization.

83992734225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 147 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 83992734225 in words is "eighty-three billion, nine hundred ninety-two million, seven hundred thirty-four thousand, two hundred twenty-five".