252007 has 12 divisors (see below), whose sum is σ = 303240. Its totient is φ = 208656.

The previous prime is 252001. The next prime is 252013. The reversal of 252007 is 700252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252001) and next prime (252013).

It is not a de Polignac number, because 252007 - 2⁷ = 251879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001) 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 11 ways as a sum of consecutive naturals, for example, 1744 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (25270).

2²⁵²⁰⁰⁷ is an apocalyptic number.

252007 is a deficient number, since it is larger than the sum of its proper divisors (51233).

252007 is a wasteful number, since it uses less digits than its factorization.

252007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 252007 is about 502.0029880389. The cubic root of 252007 is about 63.1641808193.

Adding to 252007 its reverse (700252), we get a palindrome (952259).

It can be divided in two parts, 25200 and 7, that multiplied together give a square (176400 = 420²).

The spelling of 252007 in words is "two hundred fifty-two thousand, seven".