213827152 has 40 divisors (see below), whose sum is σ = 516520512. Its totient is φ = 83308800.

The previous prime is 213827123. The next prime is 213827161. The reversal of 213827152 is 251728312.

It is a super-2 number, since 2×213827152² = 91444101864862208, which contains 22 as substring.

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, 85549 + ... + 88012.

Almost surely, 2^213827152 is an apocalyptic number.

213827152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213827152 is an abundant number, since it is smaller than the sum of its proper divisors (302693360).

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

213827152 is a wasteful number, since it uses less digits than its factorization.

213827152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173587 (or 173581 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 213827152 is about 14622.8298218915. The cubic root of 213827152 is about 597.9813195359.

The spelling of 213827152 in words is "two hundred thirteen million, eight hundred twenty-seven thousand, one hundred fifty-two".