213948765 has 24 divisors (see below), whose sum is σ = 375930360. Its totient is φ = 112541184.

The previous prime is 213948739. The next prime is 213948769. The reversal of 213948765 is 567849312.

It can be written as a sum of positive squares in 4 ways, for example, as 2595321 + 211353444 = 1611^2 + 14538^2 .

It is not a de Polignac number, because 213948765 - 2⁵ = 213948733 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213948765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213948769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29280 + ... + 35849.

It is an arithmetic number, because the mean of its divisors is an integer number (15663765).

Almost surely, 2^213948765 is an apocalyptic number.

It is an amenable number.

213948765 is a deficient number, since it is larger than the sum of its proper divisors (161981595).

213948765 is a wasteful number, since it uses less digits than its factorization.

213948765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65213 (or 65210 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213948765 is about 14626.9875572518. The cubic root of 213948765 is about 598.0946642306.

The spelling of 213948765 in words is "two hundred thirteen million, nine hundred forty-eight thousand, seven hundred sixty-five".