212772501 has 14 divisors (see below), whose sum is σ = 319013910. Its totient is φ = 141847848.

The previous prime is 212772491. The next prime is 212772577. The reversal of 212772501 is 105277212.

It can be written as a sum of positive squares in only one way, i.e., 171479025 + 41293476 = 13095^2 + 6426^2 .

It is not a de Polignac number, because 212772501 - 2¹⁸ = 212510357 is a prime.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212772601) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 145206 + ... + 146663.

Almost surely, 2^212772501 is an apocalyptic number.

It is an amenable number.

212772501 is a deficient number, since it is larger than the sum of its proper divisors (106241409).

212772501 is an frugal number, since it uses more digits than its factorization.

212772501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291887 (or 291872 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 212772501 is about 14586.7234497676. The cubic root of 212772501 is about 596.9965657235.

The spelling of 212772501 in words is "two hundred twelve million, seven hundred seventy-two thousand, five hundred one".