82241325 has 60 divisors (see below), whose sum is σ = 161368020. Its totient is φ = 41264640.

The previous prime is 82241323. The next prime is 82241347. The reversal of 82241325 is 52314228.

It can be written as a sum of positive squares in 6 ways, for example, as 1565001 + 80676324 = 1251^2 + 8982^2 .

It is not a de Polignac number, because 82241325 - 2¹ = 82241323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82241323) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33231 + ... + 35619.

It is an arithmetic number, because the mean of its divisors is an integer number (2689467).

Almost surely, 2^82241325 is an apocalyptic number.

82241325 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82241325 is a deficient number, since it is larger than the sum of its proper divisors (79126695).

82241325 is a wasteful number, since it uses less digits than its factorization.

82241325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2414 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82241325 is about 9068.7002927652. The cubic root of 82241325 is about 434.8739230343.

The spelling of 82241325 in words is "eighty-two million, two hundred forty-one thousand, three hundred twenty-five".