213488 has 20 divisors (see below), whose sum is σ = 451608. Its totient is φ = 96960.

The previous prime is 213481. The next prime is 213491. The reversal of 213488 is 884312.

It is a super-2 number, since 2×213488² = 91154252288, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213488.

It is not an unprimeable number, because it can be changed into a prime (213481) by changing a digit.

213488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431 + ... + 782.

2²¹³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

213488 is an abundant number, since it is smaller than the sum of its proper divisors (238120).

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

213488 is a wasteful number, since it uses less digits than its factorization.

213488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 213488 is about 462.0476165938. The cubic root of 213488 is about 59.7664998811.

It can be divided in two parts, 2134 and 88, that added together give a palindrome (2222).

The spelling of 213488 in words is "two hundred thirteen thousand, four hundred eighty-eight".