212769 has 12 divisors (see below), whose sum is σ = 314496. Its totient is φ = 138552.

The previous prime is 212701. The next prime is 212777. The reversal of 212769 is 967212.

It is not a de Polignac number, because 212769 - 2¹² = 208673 is a prime.

It is a super-2 number, since 2×212769² = 90541294722, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212769.

It is not an unprimeable number, because it can be changed into a prime (212369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2²¹²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

212769 is a deficient number, since it is larger than the sum of its proper divisors (101727).

212769 is a wasteful number, since it uses less digits than its factorization.

212769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 212769 is about 461.2689020517. The cubic root of 212769 is about 59.6993291340.

The spelling of 212769 in words is "two hundred twelve thousand, seven hundred sixty-nine".