20177057 has 2 divisors, whose sum is σ = 20177058. Its totient is φ = 20177056.

The previous prime is 20177033. The next prime is 20177071. The reversal of 20177057 is 75077102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14145121 + 6031936 = 3761^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 20177057 - 2²⁰ = 19128481 is a prime.

It is a super-2 number, since 2×20177057² = 814227258362498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20177557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10088528 + 10088529.

It is an arithmetic number, because the mean of its divisors is an integer number (10088529).

Almost surely, 2^20177057 is an apocalyptic number.

It is an amenable number.

20177057 is a deficient number, since it is larger than the sum of its proper divisors (1).

20177057 is an equidigital number, since it uses as much as digits as its factorization.

20177057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3430, while the sum is 29.

The square root of 20177057 is about 4491.8879104448. The cubic root of 20177057 is about 272.2404205398.

The spelling of 20177057 in words is "twenty million, one hundred seventy-seven thousand, fifty-seven".