147257 has 6 divisors (see below), whose sum is σ = 161994. Its totient is φ = 133760.

The previous prime is 147253. The next prime is 147263. The reversal of 147257 is 752741.

It can be written as a sum of positive squares in only one way, i.e., 116281 + 30976 = 341^2 + 176^2 .

It is not a de Polignac number, because 147257 - 2² = 147253 is a prime.

It is a Duffinian number.

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 147257.

It is not an unprimeable number, because it can be changed into a prime (147253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 488 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (26999).

2¹⁴⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

147257 is a deficient number, since it is larger than the sum of its proper divisors (14737).

147257 is a wasteful number, since it uses less digits than its factorization.

147257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 147257 is about 383.7407979353. The cubic root of 147257 is about 52.8070592413.

Adding to 147257 its reverse (752741), we get a palindrome (899998).

It can be divided in two parts, 147 and 257, that added together give a palindrome (404).

The spelling of 147257 in words is "one hundred forty-seven thousand, two hundred fifty-seven".