213056417 has 12 divisors (see below), whose sum is σ = 252185856. Its totient is φ = 176317680.

The previous prime is 213056407. The next prime is 213056419. The reversal of 213056417 is 714650312.

It is not a de Polignac number, because 213056417 - 2⁴ = 213056401 is a prime.

It is a super-3 number, since 3×213056417³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 213056417.

It is not an unprimeable number, because it can be changed into a prime (213056419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12209 + ... + 23982.

It is an arithmetic number, because the mean of its divisors is an integer number (21015488).

Almost surely, 2^213056417 is an apocalyptic number.

It is an amenable number.

213056417 is a deficient number, since it is larger than the sum of its proper divisors (39129439).

213056417 is an equidigital number, since it uses as much as digits as its factorization.

213056417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36256 (or 36227 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 213056417 is about 14596.4522059300. The cubic root of 213056417 is about 597.2619846441.

The spelling of 213056417 in words is "two hundred thirteen million, fifty-six thousand, four hundred seventeen".