82400225 has 12 divisors (see below), whose sum is σ = 102432060. Its totient is φ = 65755200.

The previous prime is 82400209. The next prime is 82400231. The reversal of 82400225 is 52200428.

It can be written as a sum of positive squares in 6 ways, for example, as 34845409 + 47554816 = 5903^2 + 6896^2 .

It is not a de Polignac number, because 82400225 - 2⁴ = 82400209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82400225.

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, 6611 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (8536005).

Almost surely, 2^82400225 is an apocalyptic number.

It is an amenable number.

82400225 is a deficient number, since it is larger than the sum of its proper divisors (20031835).

82400225 is a wasteful number, since it uses less digits than its factorization.

82400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 82400225 is about 9077.4569676755. The cubic root of 82400225 is about 435.1538188572.

The spelling of 82400225 in words is "eighty-two million, four hundred thousand, two hundred twenty-five".