1007253 has 12 divisors (see below), whose sum is σ = 1567020. Its totient is φ = 619776.

The previous prime is 1007249. The next prime is 1007297. The reversal of 1007253 is 3527001.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 815409 = 438^2 + 903^2 .

It is not a de Polignac number, because 1007253 - 2² = 1007249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4188 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (130585).

2^1007253 is an apocalyptic number.

1007253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1007253 is a deficient number, since it is larger than the sum of its proper divisors (559767).

1007253 is a wasteful number, since it uses less digits than its factorization.

1007253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8625 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1007253 is about 1003.6199479883. The cubic root of 1007253 is about 100.2411844994.

The spelling of 1007253 in words is "one million, seven thousand, two hundred fifty-three".