252737 has 2 divisors, whose sum is σ = 252738. Its totient is φ = 252736.

The previous prime is 252731. The next prime is 252761. The reversal of 252737 is 737252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152881 + 99856 = 391^2 + 316^2 .

It is a cyclic number.

It is not a de Polignac number, because 252737 - 2⁸ = 252481 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (252731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126368 + 126369.

It is an arithmetic number, because the mean of its divisors is an integer number (126369).

2²⁵²⁷³⁷ is an apocalyptic number.

It is an amenable number.

252737 is a deficient number, since it is larger than the sum of its proper divisors (1).

252737 is an equidigital number, since it uses as much as digits as its factorization.

252737 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 26.

The square root of 252737 is about 502.7295495592. The cubic root of 252737 is about 63.2251121964.

Adding to 252737 its reverse (737252), we get a palindrome (989989).

It can be divided in two parts, 252 and 737, that added together give a palindrome (989).

The spelling of 252737 in words is "two hundred fifty-two thousand, seven hundred thirty-seven".