213872 has 10 divisors (see below), whose sum is σ = 414408. Its totient is φ = 106928.

The previous prime is 213859. The next prime is 213881. The reversal of 213872 is 278312.

213872 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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 213872.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6668 + ... + 6699.

2²¹³⁸⁷² is an apocalyptic number.

It is an amenable number.

213872 is a deficient number, since it is larger than the sum of its proper divisors (200536).

213872 is a wasteful number, since it uses less digits than its factorization.

213872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13375 (or 13369 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 213872 is about 462.4629714907. The cubic root of 213872 is about 59.8023123381.

The spelling of 213872 in words is "two hundred thirteen thousand, eight hundred seventy-two".