82814225 has 36 divisors (see below), whose sum is σ = 117839556. Its totient is φ = 57507840.

The previous prime is 82814213. The next prime is 82814231. The reversal of 82814225 is 52241828.

It can be written as a sum of positive squares in 18 ways, for example, as 59783824 + 23030401 = 7732^2 + 4799^2 .

It is not a de Polignac number, because 82814225 - 2⁴ = 82814209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82814191 and 82814200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71249 + ... + 72401.

It is an arithmetic number, because the mean of its divisors is an integer number (3273321).

Almost surely, 2^82814225 is an apocalyptic number.

82814225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82814225 is a deficient number, since it is larger than the sum of its proper divisors (35025331).

82814225 is a wasteful number, since it uses less digits than its factorization.

82814225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1188 counting only the distinct ones).

The product of its digits is 10240, while the sum is 32.

The square root of 82814225 is about 9100.2321398962. The cubic root of 82814225 is about 435.8813767714.

It can be divided in two parts, 8281 and 4225, that multiplied together give a square (34987225 = 5915²).

The spelling of 82814225 in words is "eighty-two million, eight hundred fourteen thousand, two hundred twenty-five".