213057 has 16 divisors (see below), whose sum is σ = 340480. Its totient is φ = 130896.

The previous prime is 213043. The next prime is 213067. The reversal of 213057 is 750312.

It is not a de Polignac number, because 213057 - 2⁸ = 212801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2²¹³⁰⁵⁷ is an apocalyptic number.

213057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

213057 is a deficient number, since it is larger than the sum of its proper divisors (127423).

213057 is a wasteful number, since it uses less digits than its factorization.

213057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 213057 is about 461.5809788109. The cubic root of 213057 is about 59.7262529419.

Adding to 213057 its reverse (750312), we get a palindrome (963369).

It can be divided in two parts, 21305 and 7, that added together give a palindrome (21312).

The spelling of 213057 in words is "two hundred thirteen thousand, fifty-seven".