217400505 has 96 divisors (see below), whose sum is σ = 434958336. Its totient is φ = 92123136.

The previous prime is 217400483. The next prime is 217400537. The reversal of 217400505 is 505004712.

It is not a de Polignac number, because 217400505 - 2¹¹ = 217398457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1586797 + ... + 1586933.

It is an arithmetic number, because the mean of its divisors is an integer number (4530816).

Almost surely, 2^217400505 is an apocalyptic number.

It is an amenable number.

217400505 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

217400505 is a wasteful number, since it uses less digits than its factorization.

217400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 217400505 is about 14744.5076214840. The cubic root of 217400505 is about 601.2939712800.

The spelling of 217400505 in words is "two hundred seventeen million, four hundred thousand, five hundred five".