217997325 has 180 divisors, whose sum is σ = 508860660. Its totient is φ = 91990080.

The previous prime is 217997309. The next prime is 217997333. The reversal of 217997325 is 523799712.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

217997325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 176703849 + 41293476 = 13293^2 + 6426^2 .

It is not a de Polignac number, because 217997325 - 2⁴ = 217997309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (238140) is a multiple of the sum of its prime divisors (28).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 16769019 + ... + 16769031.

Almost surely, 2^217997325 is an apocalyptic number.

217997325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217997325 is an abundant number, since it is smaller than the sum of its proper divisors (290863335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217997325 is an equidigital number, since it uses as much as digits as its factorization.

217997325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 217997325 is about 14764.7324730250. The cubic root of 217997325 is about 601.8437037909.

The spelling of 217997325 in words is "two hundred seventeen million, nine hundred ninety-seven thousand, three hundred twenty-five".