213480767 has 16 divisors (see below), whose sum is σ = 224028288. Its totient is φ = 203243040.

The previous prime is 213480749. The next prime is 213480769. The reversal of 213480767 is 767084312.

It is a cyclic number.

It is not a de Polignac number, because 213480767 - 2¹² = 213476671 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213480767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213480769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644792 + ... + 645122.

It is an arithmetic number, because the mean of its divisors is an integer number (14001768).

Almost surely, 2^213480767 is an apocalyptic number.

213480767 is a deficient number, since it is larger than the sum of its proper divisors (10547521).

213480767 is a wasteful number, since it uses less digits than its factorization.

213480767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 213480767 is about 14610.9810416686. The cubic root of 213480767 is about 597.6582490800.

The spelling of 213480767 in words is "two hundred thirteen million, four hundred eighty thousand, seven hundred sixty-seven".