257212085 has 12 divisors (see below), whose sum is σ = 334224612. Its totient is φ = 189940608.

The previous prime is 257212079. The next prime is 257212097. The reversal of 257212085 is 580212752.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10125124 + 247086961 = 3182^2 + 15719^2 .

It is not a de Polignac number, because 257212085 - 2²⁴ = 240434869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151352 + ... + 153041.

It is an arithmetic number, because the mean of its divisors is an integer number (27852051).

Almost surely, 2^257212085 is an apocalyptic number.

It is an amenable number.

257212085 is a deficient number, since it is larger than the sum of its proper divisors (77012527).

257212085 is a wasteful number, since it uses less digits than its factorization.

257212085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304424 (or 304411 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 257212085 is about 16037.8329271757. The cubic root of 257212085 is about 635.9609605469.

The spelling of 257212085 in words is "two hundred fifty-seven million, two hundred twelve thousand, eighty-five".