212772417 has 16 divisors (see below), whose sum is σ = 333294528. Its totient is φ = 119033280.

The previous prime is 212772403. The next prime is 212772421. The reversal of 212772417 is 714277212.

It is not a de Polignac number, because 212772417 - 2²⁴ = 195995201 is a prime.

It is a super-3 number, since 3×212772417³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (212772487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247558 + ... + 248415.

It is an arithmetic number, because the mean of its divisors is an integer number (20830908).

Almost surely, 2^212772417 is an apocalyptic number.

It is an amenable number.

212772417 is a deficient number, since it is larger than the sum of its proper divisors (120522111).

212772417 is a wasteful number, since it uses less digits than its factorization.

212772417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496000.

The product of its digits is 10976, while the sum is 33.

The square root of 212772417 is about 14586.7205704367. The cubic root of 212772417 is about 596.9964871612.

The spelling of 212772417 in words is "two hundred twelve million, seven hundred seventy-two thousand, four hundred seventeen".