82037225 has 12 divisors (see below), whose sum is σ = 101839836. Its totient is φ = 65556480.

The previous prime is 82037213. The next prime is 82037237. The reversal of 82037225 is 52273028.

It is an interprime number because it is at equal distance from previous prime (82037213) and next prime (82037237).

It can be written as a sum of positive squares in 6 ways, for example, as 38093584 + 43943641 = 6172^2 + 6629^2 .

It is not a de Polignac number, because 82037225 - 2¹² = 82033129 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37769 + ... + 39881.

It is an arithmetic number, because the mean of its divisors is an integer number (8486653).

Almost surely, 2^82037225 is an apocalyptic number.

It is an amenable number.

82037225 is a deficient number, since it is larger than the sum of its proper divisors (19802611).

82037225 is a wasteful number, since it uses less digits than its factorization.

82037225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 82037225 is about 9057.4403116995. The cubic root of 82037225 is about 434.5138798197.

The spelling of 82037225 in words is "eighty-two million, thirty-seven thousand, two hundred twenty-five".