213892500 has 180 divisors, whose sum is σ = 666536640. Its totient is φ = 53352000.

The previous prime is 213892493. The next prime is 213892501. The reversal of 213892500 is 5298312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213892501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2707461 + ... + 2707539.

Almost surely, 2^213892500 is an apocalyptic number.

213892500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213892500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333268320).

213892500 is an abundant number, since it is smaller than the sum of its proper divisors (452644140).

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

213892500 is a wasteful number, since it uses less digits than its factorization.

213892500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 213892500 is about 14625.0641024236. The cubic root of 213892500 is about 598.0422299532.

The spelling of 213892500 in words is "two hundred thirteen million, eight hundred ninety-two thousand, five hundred".