82249040 has 20 divisors (see below), whose sum is σ = 191229204. Its totient is φ = 32899584.

The previous prime is 82249019. The next prime is 82249061. The reversal of 82249040 is 4094228.

It is an interprime number because it is at equal distance from previous prime (82249019) and next prime (82249061).

It can be written as a sum of positive squares in 2 ways, for example, as 61528336 + 20720704 = 7844^2 + 4552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82248994 and 82249012.

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 3 ways as a sum of consecutive naturals, for example, 513977 + ... + 514136.

Almost surely, 2^82249040 is an apocalyptic number.

82249040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82249040 is an abundant number, since it is smaller than the sum of its proper divisors (108980164).

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

82249040 is a wasteful number, since it uses less digits than its factorization.

82249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028126 (or 1028120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 82249040 is about 9069.1256469408. The cubic root of 82249040 is about 434.8875210132.

The spelling of 82249040 in words is "eighty-two million, two hundred forty-nine thousand, forty".