213464 has 8 divisors (see below), whose sum is σ = 400260. Its totient is φ = 106728.

The previous prime is 213461. The next prime is 213467. The reversal of 213464 is 464312.

213464 = T₂₂₇ + T₂₂₈ + ... + T₂₃₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213461) and next prime (213467).

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13334 + ... + 13349.

2²¹³⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

213464 is a deficient number, since it is larger than the sum of its proper divisors (186796).

213464 is a wasteful number, since it uses less digits than its factorization.

213464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26689 (or 26685 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 213464 is about 462.0216445146. The cubic root of 213464 is about 59.7642601772.

Subtracting from 213464 its sum of digits (20), we obtain a square (213444 = 462²).

Adding to 213464 its reverse (464312), we get a palindrome (677776).

The spelling of 213464 in words is "two hundred thirteen thousand, four hundred sixty-four".