97828826176 has 21 divisors (see below), whose sum is σ = 194134042389. Its totient is φ = 48913161984.

The previous prime is 97828826159. The next prime is 97828826213. The reversal of 97828826176 is 67162882879.

The square root of 97828826176 is 312776.

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., 39952014400 + 57876811776 = 199880^2 + 240576^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2482660 + ... + 2521756.

It is an arithmetic number, because the mean of its divisors is an integer number (9244478209).

Almost surely, 2^97828826176 is an apocalyptic number.

97828826176 is the 312776-th square number.

It is an amenable number.

97828826176 is a deficient number, since it is larger than the sum of its proper divisors (96305216213).

97828826176 is an frugal number, since it uses more digits than its factorization.

97828826176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78206 (or 39099 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 64.

Multiplying 97828826176 by its sum of digits (64), we get a square (6261044875264 = 2502208²).

97828826176 divided by its sum of digits (64) gives a square (1528575409 = 39097²).

The spelling of 97828826176 in words is "ninety-seven billion, eight hundred twenty-eight million, eight hundred twenty-six thousand, one hundred seventy-six".