82174225 has 45 divisors (see below), whose sum is σ = 122171217. Its totient is φ = 54825120.

The previous prime is 82174219. The next prime is 82174231. The reversal of 82174225 is 52247128.

It is a happy number.

The square root of 82174225 is 9065.

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

It is an interprime number because it is at equal distance from previous prime (82174219) and next prime (82174231).

It can be written as a sum of positive squares in 4 ways, for example, as 7800849 + 74373376 = 2793^2 + 8624^2 .

It is not a de Polignac number, because 82174225 - 2³ = 82174217 is a prime.

Its product of digits (8960) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2220907 + ... + 2220943.

Almost surely, 2^82174225 is an apocalyptic number.

82174225 is the 9065-th square number.

82174225 is the 4533-rd centered octagonal number.

It is an amenable number.

82174225 is a deficient number, since it is larger than the sum of its proper divisors (39996992).

82174225 is an frugal number, since it uses more digits than its factorization.

82174225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 49 counting only the distinct ones).

The product of its digits is 8960, while the sum is 31.

The cubic root of 82174225 is about 434.7556208719.

The spelling of 82174225 in words is "eighty-two million, one hundred seventy-four thousand, two hundred twenty-five".