286117225 has 27 divisors (see below), whose sum is σ = 378786117. Its totient is φ = 214346880.

The previous prime is 286117213. The next prime is 286117283. The reversal of 286117225 is 522711682.

286117225 = 395² + 396² + ... + 972².

It is a happy number.

The square root of 286117225 is 16915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6692569 + 279424656 = 2587^2 + 16716^2 .

It is not a de Polignac number, because 286117225 - 2⁹ = 286116713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1437676 + ... + 1437874.

Almost surely, 2^286117225 is an apocalyptic number.

286117225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286117225 is the 16915-th square number.

286117225 is the 8458-th centered octagonal number.

It is an amenable number.

286117225 is a deficient number, since it is larger than the sum of its proper divisors (92668892).

286117225 is an equidigital number, since it uses as much as digits as its factorization.

286117225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The cubic root of 286117225 is about 658.9432315551.

The spelling of 286117225 in words is "two hundred eighty-six million, one hundred seventeen thousand, two hundred twenty-five".