212734431 has 160 divisors (see below), whose sum is σ = 433664000. Its totient is φ = 102876480.

The previous prime is 212734367. The next prime is 212734433. The reversal of 212734431 is 134437212.

It is a happy number.

212734431 is a `hidden beast` number, since 212 + 7 + 3 + 443 + 1 = 666.

It is not a de Polignac number, because 212734431 - 2⁶ = 212734367 is a prime.

It is a super-2 number, since 2×212734431² = 90511876265787522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212734395 and 212734404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212734433) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6862386 + ... + 6862416.

It is an arithmetic number, because the mean of its divisors is an integer number (2710400).

Almost surely, 2^212734431 is an apocalyptic number.

212734431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212734431 is an abundant number, since it is smaller than the sum of its proper divisors (220929569).

212734431 is a wasteful number, since it uses less digits than its factorization.

212734431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 212734431 is about 14585.4184376040. The cubic root of 212734431 is about 596.9609580286.

The spelling of 212734431 in words is "two hundred twelve million, seven hundred thirty-four thousand, four hundred thirty-one".