213362000 has 40 divisors (see below), whose sum is σ = 515914152. Its totient is φ = 85344000.

The previous prime is 213361997. The next prime is 213362027. The reversal of 213362000 is 263312.

213362000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56911936 + 156450064 = 7544^2 + 12508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 213362000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51341 + ... + 55340.

Almost surely, 2^213362000 is an apocalyptic number.

213362000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213362000 is an abundant number, since it is smaller than the sum of its proper divisors (302552152).

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

213362000 is a wasteful number, since it uses less digits than its factorization.

213362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106704 (or 106688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213362000 is about 14606.9161700887. The cubic root of 213362000 is about 597.5473956206.

The spelling of 213362000 in words is "two hundred thirteen million, three hundred sixty-two thousand".