20772117 has 18 divisors (see below), whose sum is σ = 30776226. Its totient is φ = 13500480.

The previous prime is 20772107. The next prime is 20772137. The reversal of 20772117 is 71127702.

It can be written as a sum of positive squares in 3 ways, for example, as 576081 + 20196036 = 759^2 + 4494^2 .

It is not a de Polignac number, because 20772117 - 2¹² = 20768021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20772107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14443 + ... + 15815.

Almost surely, 2^20772117 is an apocalyptic number.

It is an amenable number.

20772117 is a deficient number, since it is larger than the sum of its proper divisors (10004109).

20772117 is a wasteful number, since it uses less digits than its factorization.

20772117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 20772117 is about 4557.6437991576. The cubic root of 20772117 is about 274.8908304968.

Adding to 20772117 its reverse (71127702), we get a palindrome (91899819).

The spelling of 20772117 in words is "twenty million, seven hundred seventy-two thousand, one hundred seventeen".