213948567 has 16 divisors (see below), whose sum is σ = 362241280. Its totient is φ = 122256216.

The previous prime is 213948557. The next prime is 213948571. The reversal of 213948567 is 765849312.

It is not a de Polignac number, because 213948567 - 2⁶ = 213948503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213948557) 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, 565813 + ... + 566190.

It is an arithmetic number, because the mean of its divisors is an integer number (22640080).

Almost surely, 2^213948567 is an apocalyptic number.

213948567 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

213948567 is a deficient number, since it is larger than the sum of its proper divisors (148292713).

213948567 is a wasteful number, since it uses less digits than its factorization.

213948567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132019 (or 1132013 counting only the distinct ones).

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

The square root of 213948567 is about 14626.9807889393. The cubic root of 213948567 is about 598.0944797273.

The spelling of 213948567 in words is "two hundred thirteen million, nine hundred forty-eight thousand, five hundred sixty-seven".