20772577 has 16 divisors (see below), whose sum is σ = 24599680. Its totient is φ = 17169408.

The previous prime is 20772559. The next prime is 20772581. The reversal of 20772577 is 77527702.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20772577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (20772517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35713 + ... + 36289.

It is an arithmetic number, because the mean of its divisors is an integer number (1537480).

Almost surely, 2^20772577 is an apocalyptic number.

It is an amenable number.

20772577 is a deficient number, since it is larger than the sum of its proper divisors (3827103).

20772577 is a wasteful number, since it uses less digits than its factorization.

20772577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760.

The product of its (nonzero) digits is 48020, while the sum is 37.

The square root of 20772577 is about 4557.6942635504. The cubic root of 20772577 is about 274.8928596408.

It can be divided in two parts, 20772 and 577, that multiplied together give a square (11985444 = 3462²).

The spelling of 20772577 in words is "twenty million, seven hundred seventy-two thousand, five hundred seventy-seven".