212925 has 24 divisors (see below), whose sum is σ = 374976. Its totient is φ = 106240.

The previous prime is 212923. The next prime is 212969. The reversal of 212925 is 529212.

It is not a de Polignac number, because 212925 - 2¹ = 212923 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

212925 is a lucky number.

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 212925.

It is not an unprimeable number, because it can be changed into a prime (212923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²¹²⁹²⁵ is an apocalyptic number.

212925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212925 is a deficient number, since it is larger than the sum of its proper divisors (162051).

212925 is a wasteful number, since it uses less digits than its factorization.

212925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 212925 is about 461.4379698291. The cubic root of 212925 is about 59.7139158770.

It can be divided in two parts, 21 and 2925, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 212925 in words is "two hundred twelve thousand, nine hundred twenty-five".