213743772 has 72 divisors (see below), whose sum is σ = 611275392. Its totient is φ = 64767600.

The previous prime is 213743741. The next prime is 213743773. The reversal of 213743772 is 277347312.

It is a happy number.

213743772 is a `hidden beast` number, since 213 + 7 + 437 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213743773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697 + ... + 20687.

It is an arithmetic number, because the mean of its divisors is an integer number (8489936).

Almost surely, 2^213743772 is an apocalyptic number.

213743772 is a gapful number since it is divisible by the number (22) 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 213743772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305637696).

213743772 is an abundant number, since it is smaller than the sum of its proper divisors (397531620).

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

213743772 is a wasteful number, since it uses less digits than its factorization.

213743772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021 (or 20007 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 213743772 is about 14619.9785225560. The cubic root of 213743772 is about 597.9035835949.

The spelling of 213743772 in words is "two hundred thirteen million, seven hundred forty-three thousand, seven hundred seventy-two".