82791801 has 21 divisors (see below), whose sum is σ = 124500351. Its totient is φ = 55030752.

The previous prime is 82791773. The next prime is 82791817. The reversal of 82791801 is 10819728.

The square root of 82791801 is 9099.

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., 22325625 + 60466176 = 4725^2 + 7776^2 .

It is not a de Polignac number, because 82791801 - 2⁷ = 82791673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82791001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 245505 + ... + 245841.

Almost surely, 2^82791801 is an apocalyptic number.

82791801 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82791801 is the 9099-th square number.

82791801 is the 4550-th centered octagonal number.

It is an amenable number.

82791801 is a deficient number, since it is larger than the sum of its proper divisors (41708550).

82791801 is an frugal number, since it uses more digits than its factorization.

82791801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The cubic root of 82791801 is about 435.8420313315.

Multiplying 82791801 by its sum of digits (36), we get a square (2980504836 = 54594²).

The spelling of 82791801 in words is "eighty-two million, seven hundred ninety-one thousand, eight hundred one".