213957 has 6 divisors (see below), whose sum is σ = 309062. Its totient is φ = 142632.

The previous prime is 213953. The next prime is 213973. The reversal of 213957 is 759312.

213957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 54756 = 399^2 + 234^2 .

It is not a de Polignac number, because 213957 - 2² = 213953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213957.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213957.

It is not an unprimeable number, because it can be changed into a prime (213953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11878 + ... + 11895.

2²¹³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

213957 is a deficient number, since it is larger than the sum of its proper divisors (95105).

213957 is a wasteful number, since it uses less digits than its factorization.

213957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23779 (or 23776 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 213957 is about 462.5548616110. The cubic root of 213957 is about 59.8102337791.

It can be divided in two parts, 213 and 957, that multiplied together give a triangular number (203841 = T₆₃₈).

The spelling of 213957 in words is "two hundred thirteen thousand, nine hundred fifty-seven".