83192641 has 9 divisors (see below), whose sum is σ = 96849441. Its totient is φ = 71253252.

The previous prime is 83192639. The next prime is 83192647. The reversal of 83192641 is 14629138.

The square root of 83192641 is 9121.

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

It is not a de Polignac number, because 83192641 - 2¹ = 83192639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83192597 and 83192606.

It is not an unprimeable number, because it can be changed into a prime (83192647) 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, 63196 + ... + 64498.

It is an arithmetic number, because the mean of its divisors is an integer number (10761049).

Almost surely, 2^83192641 is an apocalyptic number.

83192641 is the 9121-st square number.

83192641 is the 4561-st centered octagonal number.

It is an amenable number.

83192641 is a deficient number, since it is larger than the sum of its proper divisors (13656800).

83192641 is an frugal number, since it uses more digits than its factorization.

83192641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 1310 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The cubic root of 83192641 is about 436.5442817548.

The spelling of 83192641 in words is "eighty-three million, one hundred ninety-two thousand, six hundred forty-one".