82249264 has 40 divisors (see below), whose sum is σ = 170131968. Its totient is φ = 38384640.

The previous prime is 82249259. The next prime is 82249301. The reversal of 82249264 is 46294228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33354 + ... + 35734.

Almost surely, 2^82249264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82249264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85065984).

82249264 is an abundant number, since it is smaller than the sum of its proper divisors (87882704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82249264 is a wasteful number, since it uses less digits than its factorization.

82249264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 82249264 is about 9069.1379965243. The cubic root of 82249264 is about 434.8879158090.

It can be divided in two parts, 822 and 49264, that added together give a triangular number (50086 = T₃₁₆).

The spelling of 82249264 in words is "eighty-two million, two hundred forty-nine thousand, two hundred sixty-four".