257229 has 16 divisors (see below), whose sum is σ = 435840. Its totient is φ = 146880.

The previous prime is 257221. The next prime is 257239. The reversal of 257229 is 922752.

It is a happy number.

It is not a de Polignac number, because 257229 - 2³ = 257221 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (27240).

2²⁵⁷²²⁹ is an apocalyptic number.

It is an amenable number.

257229 is a deficient number, since it is larger than the sum of its proper divisors (178611).

257229 is a wasteful number, since it uses less digits than its factorization.

257229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 257229 is about 507.1774837273. The cubic root of 257229 is about 63.5974901110.

It can be divided in two parts, 2572 and 29, that added together give a square (2601 = 51²).

The spelling of 257229 in words is "two hundred fifty-seven thousand, two hundred twenty-nine".