257629223 has 8 divisors (see below), whose sum is σ = 262247760. Its totient is φ = 253019200.

The previous prime is 257629219. The next prime is 257629247. The reversal of 257629223 is 322926752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257629223 - 2² = 257629219 is a prime.

It is a super-3 number, since 3×257629223³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257629283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111011 + ... + 113307.

It is an arithmetic number, because the mean of its divisors is an integer number (32780970).

Almost surely, 2^257629223 is an apocalyptic number.

257629223 is a deficient number, since it is larger than the sum of its proper divisors (4618537).

257629223 is a wasteful number, since it uses less digits than its factorization.

257629223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257.

The product of its digits is 90720, while the sum is 38.

The square root of 257629223 is about 16050.8324706228. The cubic root of 257629223 is about 636.3045683040.

The spelling of 257629223 in words is "two hundred fifty-seven million, six hundred twenty-nine thousand, two hundred twenty-three".