212931 has 12 divisors (see below), whose sum is σ = 313560. Its totient is φ = 139200.

The previous prime is 212923. The next prime is 212969. The reversal of 212931 is 139212.

It is a happy number.

It is not a de Polignac number, because 212931 - 2³ = 212923 is a prime.

It is a super-2 number, since 2×212931² = 90679221522, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (212981) 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, 331 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (26130).

2²¹²⁹³¹ is an apocalyptic number.

212931 is a deficient number, since it is larger than the sum of its proper divisors (100629).

212931 is a wasteful number, since it uses less digits than its factorization.

212931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 212931 is about 461.4444711989. Note that the first 4 decimals coincide. The cubic root of 212931 is about 59.7144767633.

The spelling of 212931 in words is "two hundred twelve thousand, nine hundred thirty-one".