212961 has 8 divisors (see below), whose sum is σ = 324544. Its totient is φ = 121680.

The previous prime is 212923. The next prime is 212969. The reversal of 212961 is 169212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212961 - 2⁶ = 212897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10141 = 212961 / (2 + 1 + 2 + 9 + 6 + 1).

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

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212961.

It is not an unprimeable number, because it can be changed into a prime (212969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (40568).

2²¹²⁹⁶¹ is an apocalyptic number.

212961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212961 is a deficient number, since it is larger than the sum of its proper divisors (111583).

212961 is a wasteful number, since it uses less digits than its factorization.

212961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10151.

The product of its digits is 216, while the sum is 21.

The square root of 212961 is about 461.4769766738. The cubic root of 212961 is about 59.7172810366.

The spelling of 212961 in words is "two hundred twelve thousand, nine hundred sixty-one".