472057 has 2 divisors, whose sum is σ = 472058. Its totient is φ = 472056.

The previous prime is 472051. The next prime is 472063. The reversal of 472057 is 750274.

It is a balanced prime because it is at equal distance from previous prime (472051) and next prime (472063).

It can be written as a sum of positive squares in only one way, i.e., 281961 + 190096 = 531^2 + 436^2 .

It is a cyclic number.

It is not a de Polignac number, because 472057 - 2⁷ = 471929 is a prime.

It is a super-2 number, since 2×472057² = 445675622498, which contains 22 as substring.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (472051) 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 as a sum of consecutive naturals, namely, 236028 + 236029.

It is an arithmetic number, because the mean of its divisors is an integer number (236029).

2⁴⁷²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

472057 is a deficient number, since it is larger than the sum of its proper divisors (1).

472057 is an equidigital number, since it uses as much as digits as its factorization.

472057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 472057 is about 687.0640435942. The cubic root of 472057 is about 77.8630623833.

The spelling of 472057 in words is "four hundred seventy-two thousand, fifty-seven".