213845346 has 192 divisors, whose sum is σ = 601001856. Its totient is φ = 55987200.

The previous prime is 213845309. The next prime is 213845383. The reversal of 213845346 is 643548312.

213845346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213845309) and next prime (213845383).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213845346.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181376 + ... + 1181556.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^213845346 is an apocalyptic number.

213845346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213845346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300500928).

213845346 is an abundant number, since it is smaller than the sum of its proper divisors (387156510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213845346 is a wasteful number, since it uses less digits than its factorization.

213845346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 213845346 is about 14623.4519180664. The cubic root of 213845346 is about 597.9982792835.

It can be divided in two parts, 21384 and 5346, that multiplied together give a square (114318864 = 10692²).

The spelling of 213845346 in words is "two hundred thirteen million, eight hundred forty-five thousand, three hundred forty-six".