217000765 has 16 divisors (see below), whose sum is σ = 270287280. Its totient is φ = 167050240.

The previous prime is 217000757. The next prime is 217000783. The reversal of 217000765 is 567000712.

It can be written as a sum of positive squares in 8 ways, for example, as 20412324 + 196588441 = 4518^2 + 14021^2 .

It is not a de Polignac number, because 217000765 - 2³ = 217000757 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43605 + ... + 48325.

It is an arithmetic number, because the mean of its divisors is an integer number (16892955).

Almost surely, 2^217000765 is an apocalyptic number.

It is an amenable number.

217000765 is a deficient number, since it is larger than the sum of its proper divisors (53286515).

217000765 is a wasteful number, since it uses less digits than its factorization.

217000765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 217000765 is about 14730.9458284253. The cubic root of 217000765 is about 600.9252068464.

The spelling of 217000765 in words is "two hundred seventeen million, seven hundred sixty-five", and thus it is an aban number.