213093972 has 144 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 54238464.

The previous prime is 213093967. The next prime is 213094039. The reversal of 213093972 is 279390312.

213093972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 93883 + ... + 96125.

It is an arithmetic number, because the mean of its divisors is an integer number (4764760).

Almost surely, 2^213093972 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 213093972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062720).

213093972 is an abundant number, since it is smaller than the sum of its proper divisors (473031468).

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

213093972 is a wasteful number, since it uses less digits than its factorization.

213093972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 213093972 is about 14597.7385919875. The cubic root of 213093972 is about 597.2970752809.

It can be divided in two parts, 21309 and 3972, that added together give a square (25281 = 159²).

The spelling of 213093972 in words is "two hundred thirteen million, ninety-three thousand, nine hundred seventy-two".