214192 has 20 divisors (see below), whose sum is σ = 453096. Its totient is φ = 97280.

The previous prime is 214189. The next prime is 214211. The reversal of 214192 is 291412.

214192 = 64² + 65² + ... + 96².

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 433 + ... + 784.

2²¹⁴¹⁹² is an apocalyptic number.

214192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214192 is an abundant number, since it is smaller than the sum of its proper divisors (238904).

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

214192 is a wasteful number, since it uses less digits than its factorization.

214192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 214192 is about 462.8088158192. The cubic root of 214192 is about 59.8321233210.

It can be divided in two parts, 214 and 192, that added together give a triangular number (406 = T₂₈).

The spelling of 214192 in words is "two hundred fourteen thousand, one hundred ninety-two".