213765 has 8 divisors (see below), whose sum is σ = 342048. Its totient is φ = 114000.

The previous prime is 213751. The next prime is 213791. The reversal of 213765 is 567312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213765 - 2⁷ = 213637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7111 + ... + 7140.

It is an arithmetic number, because the mean of its divisors is an integer number (42756).

2²¹³⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

213765 is a deficient number, since it is larger than the sum of its proper divisors (128283).

213765 is a wasteful number, since it uses less digits than its factorization.

213765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259.

The product of its digits is 1260, while the sum is 24.

The square root of 213765 is about 462.3472720802. The cubic root of 213765 is about 59.7923376573.

The spelling of 213765 in words is "two hundred thirteen thousand, seven hundred sixty-five".