39092802961 has 9 divisors (see below), whose sum is σ = 39366561339. Its totient is φ = 38820939336.

The previous prime is 39092802949. The next prime is 39092802971. The reversal of 39092802961 is 16920829093.

The square root of 39092802961 is 197719.

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., 1594804225 + 37497998736 = 39935^2 + 193644^2 .

It is not a de Polignac number, because 39092802961 - 2¹¹ = 39092800913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39092802911) 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, 32227591 + ... + 32228803.

It is an arithmetic number, because the mean of its divisors is an integer number (4374062371).

Almost surely, 2^39092802961 is an apocalyptic number.

39092802961 is the 197719-th square number.

39092802961 is the 98860-th centered octagonal number.

It is an amenable number.

39092802961 is a deficient number, since it is larger than the sum of its proper divisors (273758378).

39092802961 is an frugal number, since it uses more digits than its factorization.

39092802961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 39092802961 by its sum of digits (49), we get a square (1915547345089 = 1384033²).

The spelling of 39092802961 in words is "thirty-nine billion, ninety-two million, eight hundred two thousand, nine hundred sixty-one".