82029249 has 9 divisors (see below), whose sum is σ = 118525953. Its totient is φ = 54668052.

The previous prime is 82029223. The next prime is 82029257. The reversal of 82029249 is 94292028.

The square root of 82029249 is 9057.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 82029249 - 2⁵ = 82029217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82029349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25662 + ... + 28680.

Almost surely, 2^82029249 is an apocalyptic number.

82029249 is the 9057-th square number.

82029249 is the 4529-th centered octagonal number.

It is an amenable number.

82029249 is a deficient number, since it is larger than the sum of its proper divisors (36496704).

82029249 is an frugal number, since it uses more digits than its factorization.

82029249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 82029249 is about 434.4997976148.

Multiplying 82029249 by its sum of digits (36), we get a square (2953052964 = 54342²).

Multiplying 82029249 by its product of nonzero digits (20736), we get a square (1700958507264 = 1304208²).

The spelling of 82029249 in words is "eighty-two million, twenty-nine thousand, two hundred forty-nine".