252769 has 6 divisors (see below), whose sum is σ = 277970. Its totient is φ = 229680.

The previous prime is 252767. The next prime is 252779. The reversal of 252769 is 967252.

252769 = 71² + 72² + ... + 103².

It can be written as a sum of positive squares in only one way, i.e., 245025 + 7744 = 495^2 + 88^2 .

It is not a de Polignac number, because 252769 - 2¹ = 252767 is a prime.

It is a super-2 number, since 2×252769² = 127784334722, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

252769 is a lucky number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 252769.

It is not an unprimeable number, because it can be changed into a prime (252761) 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, 924 + ... + 1165.

2²⁵²⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

252769 is a deficient number, since it is larger than the sum of its proper divisors (25201).

252769 is a wasteful number, since it uses less digits than its factorization.

252769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2100 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 252769 is about 502.7613748092. The cubic root of 252769 is about 63.2277804750.

The spelling of 252769 in words is "two hundred fifty-two thousand, seven hundred sixty-nine".