67057 has 2 divisors, whose sum is σ = 67058. Its totient is φ = 67056.

The previous prime is 67049. The next prime is 67061. The reversal of 67057 is 75076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 1521 = 256^2 + 39^2 .

It is a cyclic number.

It is not a de Polignac number, because 67057 - 2³ = 67049 is a prime.

67057 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (67157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33528 + 33529.

It is an arithmetic number, because the mean of its divisors is an integer number (33529).

2⁶⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

67057 is a deficient number, since it is larger than the sum of its proper divisors (1).

67057 is an equidigital number, since it uses as much as digits as its factorization.

67057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 67057 is about 258.9536638088. The cubic root of 67057 is about 40.6269955627.

It can be divided in two parts, 670 and 57, that added together give a palindrome (727).

The spelling of 67057 in words is "sixty-seven thousand, fifty-seven".