213355764 has 72 divisors (see below), whose sum is σ = 571870208. Its totient is φ = 66951360.

The previous prime is 213355739. The next prime is 213355771. The reversal of 213355764 is 467553312.

It is a super-4 number, since 4×213355764⁴ (a number of 34 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38709 + ... + 43875.

Almost surely, 2^213355764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213355764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285935104).

213355764 is an abundant number, since it is smaller than the sum of its proper divisors (358514444).

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

213355764 is a wasteful number, since it uses less digits than its factorization.

213355764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245 (or 5240 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 213355764 is about 14606.7027080036. The cubic root of 213355764 is about 597.5415739937.

The spelling of 213355764 in words is "two hundred thirteen million, three hundred fifty-five thousand, seven hundred sixty-four".