217415025 has 27 divisors (see below), whose sum is σ = 389811019. Its totient is φ = 115836720.

The previous prime is 217414991. The next prime is 217415053. The reversal of 217415025 is 520514712.

The square root of 217415025 is 14745.

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

It can be written as a sum of positive squares in only one way, i.e., 78269409 + 139145616 = 8847^2 + 11796^2 .

It is not a de Polignac number, because 217415025 - 2²³ = 209026417 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 217415025.

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, 220684 + ... + 221666.

Almost surely, 2^217415025 is an apocalyptic number.

217415025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

217415025 is the 14745-th square number.

217415025 is the 7373-rd centered octagonal number.

It is an amenable number.

217415025 is a deficient number, since it is larger than the sum of its proper divisors (172395994).

217415025 is an frugal number, since it uses more digits than its factorization.

217415025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The cubic root of 217415025 is about 601.3073576244.

Adding to 217415025 its reverse (520514712), we get a palindrome (737929737).

The spelling of 217415025 in words is "two hundred seventeen million, four hundred fifteen thousand, twenty-five".